Question

Sum of 5% of a number and 9% of other number is equal to sum of 8% of first number and 7% of the second number. Find ratio between the numbers.

Answer 1

the answer is shown below

Answer 2

Given:

Sum of 5% of a number and 9% of other number is equal to sum of 8% of first number and 7% of the second number.

To find:

The ratio between the numbers.

Solution:

Let x and y be the two numbers,

Sum of 5% of a number and 9% of other number is equal to sum of 8% of first number and 7% of the second number.

Therefore,

5% of x + 9% of y = 8% of x + 7% of y

5 × $\frac{x}{100}$ + 9 × $\frac{y}{100}$ = 8 × $\frac{x}{100}$ + 7 × $\frac{y}{100}$

$\frac{5x}{100} + \frac{9y}{100}$ = $\frac{8x}{100} + \frac{7y}{100}$

$\frac{2y}{100} = \frac{3x}{100}$

2y = 3x

$\frac{x}{y} = \frac{2}{3}$

The ratio is 2:3

Final answer:

The ratio between the numbers is 2:3