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Proportions: Word problems
1) If the ratio of the ages of two friends A and B is in the ratio 3:5 and that of B and C is 3:5 and the sum of their ages is 147, then how old is B?
75 years
49 years
45 years
15 years
1/10
Solution
Answer:
45 years
Explanation:
A:B = 3:5 and B:C = 3:5
The LCM of 3 and 5 is 15. Hence the equivalent ratios of A:B and B:C
given be A: B = 9:15 and B:C = 15:25
A:B:C = 9:15:25. Total = 9 + 15 + 25 = 49
B’s Age = 147 × (15/49) = 45 years
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