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Future or Past Age Conditions

Introduction

इस lesson में हम Future or Past Age Conditions pattern को समझेंगे - जो age-related aptitude questions में बहुत common आता है। हम इसे step-by-step समझेंगे, इसके पीछे की logic जानेंगे, और एक example solve करेंगे ताकि आप इस pattern को confidence के साथ लागू कर सकें।

यह pattern इस बात पर आधारित होता है कि किसी भी relation को apply करने से पहले ages को एक ही संख्या से पीछे (past) या आगे (future) shift किया जाता है। एक clear step-by-step method का पालन करके beginners भी सही equation बना सकते हैं और problems को आसानी से solve कर सकते हैं।

Pattern: Future or Past Age Conditions

Pattern

Age problems में अक्सर conditions मिलती हैं जैसे:

“Five years ago, Rahul was twice as old as Neha”
“In six years, Neha will be three times Rahul’s age”

इनका मतलब है कि relation लगाने से पहले दोनों ages को एक ही दिशा में shift करना है - पीछे या आगे।

Key idea:

Past → Subtract years
Future → Add years

ऐसे shift करने से equation बनाना आसान हो जाता है और problem जल्दी solve हो जाती है।

Step-by-Step Example

Question

“Rahul Neha से 5 साल बड़ा है। पाँच साल पहले Rahul Neha की age का दोगुना था। उनकी present ages ज्ञात करें।”

Options:

  1. Neha 8, Rahul 13
  2. Neha 10, Rahul 15
  3. Neha 12, Rahul 17
  4. Neha 9, Rahul 14

Solution

  1. Step 1: Represent the current ages.

    Neha की present age = N.
    Rahul 5 साल बड़ा है → Rahul की present age = N + 5.

  2. Step 2: Go 5 years back.

    Neha की age 5 साल पहले = N - 5.
    Rahul की age 5 साल पहले = (N + 5) - 5 = N.

  3. Step 3: Apply the condition.

    Condition: पाँच साल पहले Rahul = Neha की age का दोगुना।
    → N = 2 × (N - 5)

  4. Step 4: Solve the equation.

    N = 2N - 10
    -N = -10
    N = 10

  5. Step 5: Find present ages.

    Neha = 10
    Rahul = N + 5 = 15

  6. Final Answer:

    Neha = 10, Rahul = 15 → Option B

  7. Quick Check:

    5 साल पहले → Neha = 10 - 5 = 5, Rahul = 15 - 5 = 10
    Ratio = 10 ÷ 5 = 2 ✅

Quick Variations

अगर condition हो: “6 years बाद Rahul = Neha का double”, तो दोनों ages में 6 add करें और relation बनाएं।

अगर कहा हो: “10 years ago, Rahul = Neha की half age”, तो दोनों ages में से 10 subtract करें।

Trick to Always Use

  1. Step 1: Present ages से शुरुआत करें (unknown हों तो variables लें)।
  2. Step 2: Condition के अनुसार आगे (+) या पीछे (-) shift करें।
  3. Step 3: Relation (times, difference, ratio) apply करें।
  4. Step 4: Equation solve करें।
  5. Step 5: Ages को वापस timeline में रखकर check करें।

Summary

Summary

  • Equation बनाने से पहले दोनों ages को बराबर years से shift करें (Past = Current - years, Future = Current + years).
  • Unknown ages के लिए variables लें और बाकी ages उन्हें relate करके लिखें।
  • Relation (ratio, times, difference) shifted ages पर लागू करें और equation बनाएँ।
  • Final answer मिलने के बाद हमेशा original condition में check करें।

Example to remember:
“Past = Current - years, Future = Current + years.”

Practice

(1/5)
1. Five years ago, A was 15 years old. How old is A now?
easy
A. 10
B. 15
C. 20
D. 25

Solution

  1. Step 1: Translate the condition.

    Five years ago A's age = 15.

  2. Step 2: Move to present by adding 5 years.

    Present age = 15 + 5 = 20.

  3. Final Answer:

    20 → Option C

  4. Quick Check:

    20 - 5 = 15 ✅
Hint: For 'x years ago', add x to that age to get present age.
Common Mistakes: Subtracting instead of adding when moving from past to present.
2. In 10 years, B will be 30 years old. What is B's current age?
easy
A. 20
B. 22
C. 25
D. 30

Solution

  1. Step 1: Translate the condition.

    B in 10 years = 30.

  2. Step 2: Subtract 10 to get present age.

    Present age = 30 - 10 = 20.

  3. Final Answer:

    20 → Option A

  4. Quick Check:

    20 + 10 = 30 ✅
Hint: For 'x years hence', subtract x from the future age.
Common Mistakes: Adding instead of subtracting when reversing a future age.
3. Four years ago, C was 12. What will be C’s age 6 years from now?
easy
A. 14
B. 16
C. 18
D. 22

Solution

  1. Step 1: Find present age.

    Four years ago C = 12 → Present = 12 + 4 = 16.

  2. Step 2: Move forward 6 years.

    Future = 16 + 6 = 22.

  3. Final Answer:

    22 → Option D

  4. Quick Check:

    16 - 4 = 12 and 16 + 6 = 22 ✅
Hint: Move step-by-step: past → present → future.
Common Mistakes: Jumping directly from past to future without computing present first.
4. Eight years ago, the ratio of D’s age to E’s age was 2 : 3. If D is 24 now, what is E’s current age?
medium
A. 28
B. 32
C. 36
D. 40

Solution

  1. Step 1: Find D eight years ago.

    D now = 24 → D eight years ago = 24 - 8 = 16.

  2. Step 2: Use ratio 2 : 3 at that time.

    If D = 2k then 2k = 16 → k = 8. E eight years ago = 3k = 24.

  3. Step 3: Move to present.

    E now = 24 + 8 = 32.

  4. Final Answer:

    32 → Option B

  5. Quick Check:

    Eight years ago: D = 16, E = 24 → ratio 2:3 ✅
Hint: Shift to the referenced time, find k from the ratio, then shift back to present.
Common Mistakes: Applying ratio to current ages instead of ages at the referenced time.
5. Six years hence, F will be 3 times G's present age. If G is currently 10, what will be F's age after 6 years?
medium
A. 20
B. 25
C. 30
D. 35

Solution

  1. Step 1: Translate the statement.

    F after 6 years = 3 × (G's present age).

  2. Step 2: Substitute G = 10.

    F after 6 years = 3 × 10 = 30.

  3. Final Answer:

    30 → Option C

  4. Quick Check:

    Expression matches the given relation ✅
Hint: Be careful whether the relation uses present age or future age of the other person.
Common Mistakes: Incorrectly shifting G by 6 before applying the multiplier when the multiplier applies to present age.

Mock Test

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