Question

two numbers are in ratio 8:13 if 14 is added to each nunber the ratio becames 2:3 find the number​

Answer 1

Answer:

56 and 91

Step-by-step explanation:

Let the numbers are 8x and 13x.

When 14 is added to each number, these are 8x + 14 and 13x + 14, and the ratio is 2 : 3.

=> (8x + 14)/(13x + 14) = 2/3

=> 3(8x + 14) = 2(13x + 14)

=> 24x + 42 = 26x + 28

=> 42 - 28 = 26x - 24x

=> 14 = 2x

=> 7 = x

Therefore, numbers are :

• 8x = 8(7) = 56

• 13x = 13(7) = 91

Answer 2

A N S W E R :

• The numbers are 56 & 91.

Given :

• The numbers are in ratio 8 : 13

• 14 is added to each number the ratio becomes 2 : 3

To find :

• Find the numbers ?

Solution :

• Let the number be 8x & 13x

According to the question,

=> 8x + 14/3x + 14 = 2/3

=> 3(8x + 14) = 2(13x + 14)

=> 42 - 28 = 26x - 24x

=> 2x = 14

=> x = 14/2

=> x = 7

Therefore,

• 8x = 8 × 7 = 56

• 13x = 13 × 7 = 91

Hence,

• The numbers are 56 & 91.