How much will be decreased to each terms of ratio 16 : 19, so that it will be 5 : 7?
Answer & explanation
Correct answer: option 1
Here,
A : B
16 : 19
⇒ 'a' to be subtracted to make ratio 5 : 7
⇒ \(\frac{16x - a}{19x - a}\) = \(\frac{5}{7}\)
⇒ 7(16x - a) = 5(19x - a)
⇒ 112x - 7a = 95x - 5a
⇒ a = 17x
Put x = 1,
Therefore, a = 17.