Question

If the compound ratio of 7:5 and 8:x is 83:60 then find X​

Answer 1

Note: Consider 84 instead of 83 because the value of x is a decimal value of 83 which is not possible.

Given:

Compound ratio of 7:5 and 8:x is 84:60.

To find:

The value of x.

Solution:

Compound ratio of 7:5 and 8:x is 84:60.

`(7)/(5)* (8)/(x)=(84)/(60)`

`(7\tims 8)/(5* x)=(84)/(60)`

`(56)/(5x)=(84)/(60)`

By cross multiplication, we get

`56* 60=84* 5x`

`3360=420x`

Divide both sides by 1420.

`(3360)/(420)=x`

`8=x`

Therefore, the value of x is 8.