LIC AAO Model Paper 9

Question : 31 of 160

Marks: +1, -0

Samartha is five times as old as his daughter Trisha and Samartha's wife Phalguni's are is 36 years more than that of Trisha. The difference between thrice the age of Samartha ten years ago and twice the age of Phalgun ten years ago was 42 years. Whatwill be the respective ratio of Phaiguni's age 12 years hence and Samartha's age 12 years hence?

23 : 26
24 : 29
19 : 23
21 : 25
18 : 23

Validate

Solution:

Trisha's present age
= x years (Let)
∴ Samartha's present age
= 5x years
Phalgunl's present age
= (x + 26) years
According to the question.
3 (5x- 10) - 2 (x + 26 10) = 42
⇒ 15x- 30-2x 32 = 42
⇒ 13x = 42 +62 = 104
⇒ x =

{104}/{13}

= 8
∴ After 12 years.
Phalguni's age = (x + 26 + 12) years
= (8 + 38) = 46 years
Samartha's age = (5x + 12) years
= (5 x 8 + 12) years
= 52 years
Required ratio = 46.52 = 23 : 26

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