Question

Two quantities are in the ratio 3 : 5

i. If the smaller alone is made four times the original, What would be the ratio?

ii. If the smaller is doubled and the larger is halved, What would be the ratio?

Answer 1

i. Let 3x be the smaller side and 5x be the larger side,

4 times the smaller = 4 × 3x = 12x

present ratio = 12x : 5x = 12 : 5

ii. Double the smaller = 2 × 3x = 6x

Half of the larger = \(\frac{5x}{2}\)

present ratio = 6x : \(\frac{5x}{2}\) = 6 : \(\frac{5}{2}\)

= 12 : 5 (multiplied by 2)