Question

if the compound ratio of 7:5 and 8:x is 84:60.Find x​

Answer 1

Given:

• The compound ratio of 7:5 and 8:x = 84:60.

To Find:

• Find the value of x.

Solution:

$\sf \: 7 \ratio \: 5 \: and \: 8 \ratio \: x = 84 \ratio \: 60 \\ \\ \sf \longrightarrow7 \times x \ratio \: 5 \times 8 = 84 \ratio60 \\ \\ \sf \longrightarrow \: 7x \ratio \: 40 = 84 \ratio \: 60$

Product of extremes = Product of means

$\sf \longrightarrow \: 7x \ratio \:60 = 40 \times 84 \\ \\ \sf \longrightarrow \: \frac{40 \times 84}{60} = 7x \\ \\ \sf \longrightarrow \: 7x = 56 \\ \\ \sf \longrightarrow \: x = 8$

• Hence, the value of x is 8.