asked 37.5k views
4 votes
Alan, Bobby and Chris are comparing their ages. The ratio of Alan’s age to Bobby’s is 7 : 8 and the ratio of Bobby’s to Chris’ is 5 : 4. If Alan is 70, how old is Chris?

1 Answer

2 votes

Answer: 64 yrs

Explanation:

To find Chris' age, we can follow these steps:

Step 1: Determine Bobby's age.

Given that the ratio of Alan's age to Bobby's age is 7:8, and we know that Alan is 70, we can set up the following equation:

Alan's age / Bobby's age = 7/8

70 / Bobby's age = 7/8

Cross-multiplying, we have:

8 * 70 = 7 * Bobby's age

560 = 7 * Bobby's age

Divide both sides by 7:

Bobby's age = 560 / 7

Bobby's age = 80

So, Bobby is 80 years old.

Step 2: Determine Chris' age.

Given that the ratio of Bobby's age to Chris' age is 5:4, we can set up the following equation:

Bobby's age / Chris' age = 5/4

Substituting Bobby's age as 80, we have:

80 / Chris' age = 5/4

Cross-multiplying, we get:

4 * 80 = 5 * Chris' age

320 = 5 * Chris' age

Divide both sides by 5:

Chris' age = 320 / 5

Chris' age = 64

Therefore, Chris is 64 years old.

answered
User Reece Kenney
by
8.1k points
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