Question

The ratio of the ages of a brother and sister is 4:5 after six years the ratio of their ages will be 5:6 find the present age of the brother

Answer 1

Answer:

Answer : C

Discuss it below :

Let the two brothers be X and Y

Given: The ratio of the present ages of X and Y is 1:2

Let the present age of X be x years

Let the present age of Y be 2x years

∴ X : Y

⇒ x : 2x

Given : 5 years back (before), the ratio was 1:3

x-5 = 1 : 2x-5 = 3

x-5/2x-5 = 1/3

3 (x-5) = 2x-5

3x-15 = 2x-5

⇒ 3x-2x = -5 +15

⇒ x = 10

To find : The ratio of their ages after 5 years

X+5 = ? : 2x + 5 = ?

10 + 5 = 15 : 2(10)+5 = 25

⇒ 15 : 25 ⇒ 3 : 5

Answer 2

Answer:Ans is (b)24 years

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