Question

What number needs to be added to 5 and 3 so that the ratio of the first number to the second becomes 3 : 2?

Answer 1

1

Explanation:

let x be the number to be added to 5 and 3

expressing the ratios in fractional form

`(5+x)/(3+x)` =
`(3)/(2)` ( cross- multiply )

3(3 + x) = 2(5 + x) ← distribute parenthesis on both sides

9 + 3x = 10 + 2x ( subtract 2x from both sides )

9 + x = 10 ( subtract 9 from both sides )

x = 1

then the number to be added to both is 1