Question

Pls help me with this question

Answer 1

Answer:

6 years and 15 years of age

Step-by-step explanation:

Given the ratio of their ages is 2 : 5 = 2x : 5x ( x is a multiplier )

Then in 9 years their ages are 2x + 9 and 5x + 9 in the ratio 5 : 8

By proportion

$\frac{2x+9}{5x+9}$ = $\frac{5}{8}$ ( cross- multiply )

5(5x + 9) = 8(2x + 9) ← distribute parenthesis on both sides

25x + 45 = 16x + 72 ( subtract 16x from both sides )

9x + 45 = 72 ( subtract 45 from both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Thus

Rohit's age = 2x = 2( 3) = 6

James' age = 5x = 5(3) = 15

6 : 15 = 2 : 5