Question

The same number is added to both the numerator and denominator of the fraction 28/91. If the ratio is then equal to 2:5 what is the number

Answer 1

Answer:

Let the require number is a.

When a is added to numerator 28 as well as denominator 91, new fraction becomes 2 / 5.

→ ( 28 + a ) : ( 91 + a ) = 2 / 5

→ 5( 28 + a ) = 2( 91 + a )

→ 140 + 5a = 182 + 2a

→ 5a - 2a = 182 - 140

→ 3a = 42

→ a = 42/3

→ a = 14

Hence the required number is 14.