Question

A is 19 yrs old younger than B .After 5yrs their ages will be in ratio 2:3 Find their present age​

Answer 1

Answer:

Refer to the attachment for ur answer...

Answer 2

Answer:

A is presently 33 years old and B is 52 years old.

Step-by-step explanation:

Given :

A = 19 yrs old younger than B

After 5yrs their ages will be in ratio = 2 : 3

To find :

Their present age

Solution :

Let the Present ages be -

• B as y
• A as (y - 19)

★$\green{\boxed{\green{\boxed{\red{\sf{\frac{(y - 19) + 5}{y + 5} = \frac{2}{3}}}}}}}$

$\sf{\implies} \: \frac{(y - 19) + 5}{y + 5} = \frac{2}{3} \\ \sf{\implies} \: \frac{y - 14}{y + 5} = \frac{2}{3} \\ \sf{\implies} \:3(y - 14) = 2(y + 5) \\ \sf{\implies} \:3y - 42 = 2y + 10 \\ \sf{\implies} \:3y - 2y = 10 + 42 \\ \sf{\implies} \:y = 52$

B's age = 52

$\rule{300}{1.5}$

★ Value of (y - 19)

$\sf{\implies} \:52 - 19 \\ \sf{\implies} \: 33$

A's age = 33

$\therefore$ A is presently 33 years old and B is 52 years old.