Question

Amit is 19 years younger than his cousin, after 5 years, their ages will be in the ratii 2:3, find their present ages

Answer 1

Let the cousin's present age be x .

Amit's present age = x - 19

After 5 years, →

Cousin's age = x + 5

Amit's age = (x - 19) + 5

= x - 19 + 5 = x - 14

Now the ratio of the ages → 2:3

= 2:3 = (x+5):(x-14)

=

$\frac{2}{3} = \frac{x + 5}{x - 14}$

By transposition,

$2(x - 14) = 3(x + 5)$

$= 2x - 28 = 3x + 15$

= 2x = 3x + 15 + 28

= 2x = 3x + 43

= 2x - 43 = 3x

= (-43) = 3x - 2x

= - 43 = x

= x = 43

(Negative sign can be removed after the equation is complete)

Therefore, cousin's present age is 43 years.

Amit's present age is 43-19 = 24 years.

Answer 2

Answer: Amit's age= 33 years

His cousin's age= 52 years

Step-by-step explanation: