What is the ratio whose terms differ by 40 and the measure of which is 27?
The correct option is B: 16:56
Let the ratio be x : (x + 40). Then [∵ terms differ by 40]
∴xx + 40 = 27 [∵ Ratio of the two terms =27]
⇒7x=2(x+40)
⇒7x=2x+80
⇒5x=80
⇒x=16
∴ Required ratio =16 : 56.