If A : B is 2 : 5. Then, the value of 2A + 3B : A + B is

The correct answer is Option (2) → 19 : 7

A ratio stays the same for any common multiple, so take A \(=2\) and B \(=5\).

• First term of the ratio: \(2A+3B=4+15=19\)

• Second term: \(A+B=2+5=7\)

• So the required ratio is \(19:7\)