Question

Two numbers are in the ratio 5: 6. If the sum of the numbers is 77, find the value of the larger number.

Can someone explain how to proceed to find the answer?
Thank you!

Answer 1

42

Explanation:

sum the parts of the ratio, 5 + 6 = 11 parts

Divide the sum by 11 to find the value of one part of the ratio.

77 ÷ 11 = 7 ← value of 1 part of the ratio , thus

6 parts = 6 × 7 = 42 ← larger number