Question

two numbers are in ratio of 2:3. If 12 is added to each question to each of these numbers,the ratio of these numbers would become 3:4. Find the sum of these numbers​

Answer 1

Answer:

60

Step-by-step explanation:

Ratio of two nos = 2:3

Let first number be 2x

and the second number be 3x

After adding 12 in both numbers

First number = 2x + 12

Second number  = 3x + 12

According to Problem

New Ratio of two numbers is 3 : 4

(2x + 12) : (3x + 12) = 3 : 4

2x + 12/3x + 12 = 3/4

3(3x +12) = 4(2x + 12)

9x + 36 = 8x +48

9x - 8x = 48 - 36

Therefore x = 12

Puting the value of x

First number = 2x

                      = 2 x 12

                      = 24

Second number = 3x = 3x12 =36

Sum of  two numbers

= 24 + 36

= 60(Ans)