Question

two numbers are in the ratio 19 :55 one third of the smaller number is less than the one fifth of the the bigger by 42 find the smaller number​

Answer 1

Answer:

smaller number = 19 x 9 = 171

Step-by-step explanation:

Given, two numbers are in the ratio 19 : 55

Let a : b = 19 : 55

Let a = 19x & b = 55x

Given, one third of the smaller number is less than the one fifth of the the bigger by 42

=> ( 1 / 5 * 55x ) - ( 1 / 3 * 19x ) = 42

=> 11x - 19x/3 = 42

=> 33x - 19x = 42 * 3

=> 14x = 126

=> x = 9

.•. smaller number = 19 x 9 = 171

and bigger number = 55 x 9 = 495