The ratio of the ages of A,B and C is 7:5:4. If C’s age is 32 years, the sum of the age of A, B and Ca.128b. 120c.56d.49
Question
The ratio of the ages of A, B and C is 7:5:4. If C’s age is 32 years, what is the sum of the age of A, B and C?
a. 128
b. 120
c. 56
d. 49
Solution
The problem states that the ratio of the ages of A, B, and C is 7:5:4 and that C's age is 32 years.
Step 1: Determine the value of each ratio unit The ratio representing C's age is 4, and we know that C is 32 years old. Therefore, each unit of the ratio is worth 32/4 = 8 years.
Step 2: Determine the ages of A and B Using the value of each ratio unit, we can find that A's age is 78 = 56 years and B's age is 58 = 40 years.
Step 3: Find the sum of the ages of A, B, and C The sum of their ages is 56 + 40 + 32 = 128 years.
So, the answer is a. 128.
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