How much will be decreased to each terms of ratio 16 : 19, so that it will be 5 : 7?

17 36 35 34

17

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.