Question

The present ages of A and B are in the ratio 7:5.Ten years later,their ages will be in the ratio 9:7,find their present ages.

Answer 1

7x + 10 : 5x +10. = 9:7

49x + 70 =45x + 90

49x - 45x. = 90 - 70

4x. = 20

x =5

age of A is 35

age of B is 25

Answer 2

$\huge\mathbb{A~N~S~W~E~R~:}$

$<b><i>$
Ratio of A and B is 7:5 and after 10 yesrs ratio of their ages is 9:7.

Let present age of A as 7x and B is 5x.

(From ratio)

Aftar 10 years ages beacame

A = 7x + 10 and B = 5x + 10

and ratio is 9:7.

$7x + 10 + 5x + 10 = 9x + 7x \\ \\ 12x + 20 = 16x \\ \\ 2 0 = 4x \\ \\ x = 5 \: years$

age of A = 7x = 35 years

age of B = 5x = 25 years

${\large\color{Red}{Answer~is~35~years ~and~25~years.}}$

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