Problems on Ages Diagram-Based Questions

Six years from now he is 50

Now = 50 − 6

= 44

Trap: 56 adds the 6 years instead of subtracting.

Answer: 44

Now: A = 25, B = 35

Ratio 25 : 35 = 5 : 7

Trap: 2 : 3 is the ratio five years ago – ratios change with time.

Answer: 5 : 7

(4k + 8) ÷ (7k + 8) = 5 ÷ 8

32k + 64 = 35k + 40 → k = 8

B = 7 × 8 = 56 (A = 32)

Trap: 32 is A’s age.

Answer: 56

2 blocks = 12 → 1 block = 6

Now: 30 and 18, sum 48

In 6 years both add 6: 48 + 12 = 60

Trap: 54 adds the 6 years only once.

Answer: 60

A = 3u, B = 5u: (3u + 10) ÷ (5u + 10) = 2 ÷ 3

9u + 30 = 10u + 20 → u = 10

A = 30 (B = 50)

Trap: 50 is B’s age.

Answer: 30

The age gap is always 2014 − 2009 = 5 years

Riya is twice his age when he is 5 and she is 10

That year = 2014 + 5 = 2019

Trap: 2018 makes him 4 and her 9.

Answer: 2019

Age gap = 2012 − 1988 = 24 years

Mother = 3 × daughter → gap = 2 × daughter → daughter = 12

Year = 2012 + 12 = 2024

Trap: 2036 makes the mother only twice as old.

Answer: 2024

Present total = 18 + 15 + 11 + 8 = 52

Each year the total grows by 4 (one year each)

(100 − 52) ÷ 4 = 12 years

Trap: 48 forgets there are four people.

Answer: 12

After t years: 46 + t = (16 + t) + (12 + t)

46 + t = 28 + 2t → t = 18

Trap: 9 forgets that both sons age, so the sum grows by 2 a year.

Answer: 18

Son = 36 ÷ 3 = 12

36 + t = 2(12 + t) → t = 12

Check: in 12 years, 48 and 24 ✓

Trap: 6 makes them 42 and 18.

Answer: 12