Question

If the compound ratio of 5:8 and 3:7 is 45:x.find the value of x.

Answer 1

If the compound ratio of 5 : 8 and 3 : 7 is 45 : x. Find the value of x.

Compound ratio of 5:8 and 3:7 = 5/8 ? - 3/7 = 15/56.

Now product of extremes = Product of means => 15:56 :: 45:x => 15x = 2520 => 2520/15 = 168.

x = 168.

Answer 2

Answer:

Value of x = 168

Explanation:

There are two ratios provided to us which can be listed as follows and is an essential part of our calculation,

5 : 8 and 3 : 7

Compound ratio of the above two given ratios = 45 : x

But, we know that compound ratio is the ratio of the product of the antecedents of both the ratios to the product of the consequents of both the ratios.

Hence,

Compound ratio for the above given ratios = ( 5 * 3 ) : ( 8 * 7 ) = 15 : 56

Therefore,

45 : x = 15 : 56

15x = 45 * 56

x = ( 45 * 56 ) / 15

x = 3 * 56

x = 168