Question

Ratio of age of ABB is 4.5. sum of
is 36 you. What will be
reatio their age ofter 34os.
their agey​

Answer 1

Correct Question

Ratio of ages of A and B is 4:5 and the sun of their age is 36 years. What will be the ratio of their ages after 24 years?

Answer

Given :

Ratio of A and B : 4:5

Sum of the ages of A and B : 36 years

To find :

The ages of A and B after 3 years

Solution :

${\sf \dashrightarrow 4 : 5 = 36}$

${\sf \dashrightarrow 4x + 5x = 36}$

${\sf \dashrightarrow 9x = 36}$

${\sf \dashrightarrow x = \dfrac{36}{9}}$

${\sf \dashrightarrow x = 4}$

Now, let's find the present ages of A and B.

Present age of A :

${\sf \dashrightarrow 4x = 4(4)}$

${\sf \dashrightarrow 16 \: years}$

Present age of B :

${\sf \dashrightarrow 5x = 5(4)}$

${\sf \dashrightarrow 20 \: years}$

Now, we can find the ages of A and B after 34 years.

Age of A (after 34 years) :

${\sf \dashrightarrow 16 + 34}$

${\sf \dashrightarrow 50 \: years}$

Age of B (after 34 years) :

${\sf \dashrightarrow 20 + 34}$

${\sf \dashrightarrow 54 \: years}$

So, the ages of A and B after 34 years are 50 and 54 years respectively.