The sum of three numbers, namely, A, B and C, is 156. The numbers A and B are in the ratio of 2 : 5, while B and C are in the ratio of 1 : 9. Find number B?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 15
Two ratios that share a term are joined by making the shared term (B) the same in both.
A : B \(=2:5\); B : C \(=1:9=5:45\) (both terms multiplied by 5, so that B is 5 in both)
A : B : C \(=2:5:45\), a total of 52 parts
One part \(=156\div52=3\)
B \(=5\times3=15\)