Question

The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.

Answer 1

Let the first number = x

and the second number = 7

According to the question, x + y = 405 ……..(i)

and the numbers are in the ratio 8 : 7

i.e. `"8x"/"7y" = 1`

⇒ 8x = 7y

⇒ x = `7/8`y

Now, substitute the value of x in equation (i)

`7/8`y + y = 405

7y + 8y = 405 × 8

15y = 3240

y = `3240/15`

y = 216

Now, put the value of y in equation (ii)

x = `7/8 xx 216`

x = 189

Hence, the numbers are 189 and 216