Question

The difference between the ages of Meena and Seema is 3 year and the ratio between their ages is 7:8. What is the sum of their ages?
$
  A.{\text{ 43yr}} \\
  B.{\text{ 41yr}} \\
  C.{\text{ 45yr}} \\
  D.{\text{ 48yr}} \\
 $

Answer 1

Hint: Here we go through by supposing the age ratio of Meena and Seema to be 7x and 8x respectively. Then calculate accordingly to the question for finding the value of x.

Complete step-by-step answer:
Let the age of Meena =7x years
And the age of Seema=8x years.

According to the question,
The difference between the age of Meena and Seema is 3 years.
i.e. 8x-7x=3.

$\therefore x = 3$
Here we find that the value of x is 3.

Now put the values of x in their ages to find out their ages.
The age of Meena $ = 7x = 7 \times 3 = 21$years.
The age of Seema $ = 8x = 8 \times 3 = 24$years.

Now in the question it asked for the sum of their ages.
I.e. the age of Meena + the age of Seema
$ \Rightarrow 21 + 24 = 45$Years.
Therefore, the sum of their ages is 45 years.
Hence, option C is the correct answer.

Note: Whenever we face such types of questions on age problems, first always suppose the age ratio with some variable x and then apply the conditions of the question on that variable to find out the value of that variable. to find out the result.