Question

Two number are in a ratio of 9 :13 and their sum is 176 find the number

Answer 1

Given,

Sum of the two number = 176

The ratios of two numbers are 9:13

let the ratios be x

According to the problem,

9x + 13x = 176

22x = 176

x = 176/22

x = 8

Then the numbers are :

9x = 9(8) = 72

13x = 13(8) = 104

Answer 2

let the 2 numbers be 9x and 13x where x is a common factor for the 2 numbers

now, given

their sum is = 176

so therefore

9x+13x=176

22x=176 (by transposing)

22x÷22=176÷22

x=8

Thus the 2 numbers are

9x=9×8=72

13x=13×8=104

hence the 2 numbers are 72 and 104 respectively.