Question

The ratio between the present ages of A
and B is 3:5 respectively. If the
difference between B's present age and A's
age after 4 years is 2, what is the total of
A's and B's present age (in years)?​

Answer 1

Answer:

Please see the attachment

Answer 2

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

Information is Given,

Ratio of A and B

= 3 : 5

Assumption

Present age of A and B

= 3p and 5p

Therefore,

A after 4 years

= (3p + 4)

Also,

Difference between B and A age after 4 years = 2

Hence,

Present age of B - (A after 4 yrs) = 2

5p - (3p + 4) = 2

5p - 3p - 4 = 2

2p = 2 + 4

2p = 6

$\tt{\rightarrow p=\dfrac{6}{2}}$

p = 3

Hence,

Present Age of A = 3p

= 3 × 3

= 9 years.

Present age B = 5p

= 5 × 3

= 15 years.

Therefore,

Total Present age of A and B

= 9 + 15

= 24 years