Question

Two numbers are in the ratio 5:9. if 8 is added to each number, the new ratio is 29:49. what is the smaller number in the new ratio?

Answer 1

let ratio be x

so numbers are 5x and 4
9x

by given condition ,

5x + 8 / 9x + 8 = 29 / 49

49 ( 5x + 8 ) = 29 ( 9x + 8 )

245 x + 392 = 261 x + 232

261 x - 245 x = 392 - 232

16 x = 160

x = 10

so smallest number is , 5x = 5 × 10

= 50