Question

Two numbers are in the ratio 3:5. If
12 is added to both the numbers, then
the ratio becomes 5:7. The sum of the
given two numbers is
(1) 32
(2) 40
(3) 48
(4) 56​

Answer 1

Answer:

your answer is (3)48......

Answer 2

Given:

Two numbers are in the ratio 3:5. If

12 is added to both the numbers, then

the ratio becomes 5:7.

To Find:

The sum of the given two numbers

Solution:

Two numbers are in the ratio 3:5

Let, the first number be 3x

The second number will be 5x

According to the question,

=> (3x+12/5x+12) = 5/7

By cross multiplication

=> 5(5x+12) = 7(3x+12)

=> 25x+60 = 21x+84

=> 25x-21x = 84-60

=> 4x = 24

=> x = 24/4

=> x = 6

Hence, first number is 3(x) = 3(6) = 18

The second number is 5(x) = 5(6) = 30

The sum of these two numbers is:

=> 18+30= 48.

Hence, option 3 => 48 is the required answer.