Question

Q4)The ratio of the present ages of A to that of B is 3 : 5. A's age after 7 years will be 3 years less than the present age of B. What is the sum of the present ages of A's and B's?
(a) 10 years (b) 30 years
(c) 40 years (d) 45 years​

Answer 1

Answer:

c

Step-by-step explanation:

Q4)The ratio of the present ages of A to that of B is 3 : 5. A's age after 7 years will be 3 years less than the present age of B. What is the sum of the present ages of A's and B's?

(a) 10 years (b) 30 years

(c) 40 years (d) 45 years

Answer 2

The sum of the present ages of A and B is 40 years. (Option c)

Given:

The ratio of present ages of A and B=3:5

The age of A after 7 years= Present age of B -3

To find:

The sum of present ages of A and B

Solution:

We can find the ages by following the steps given below-

Let us assume that the present ages of A and B is x and y, respectively.

The ratio of their ages=3:5

x:y=3:5

x=3y/5

As per the given information, the age of A after 7 years will be (x+7).

So, x+7= y-3

x+10=y

Substituting the value of x in the equation, we get

3y/5+10=y

10=y-3y/5

10=2y/5

y=25 years

So, x=3y/5

=3×25/5

=3×5

=15 years

The sum of their present ages= x+y

=15+25

=40 years

Therefore, the sum of the present ages of A and B is 40 years.