Question

171 is divided into two parts such that fifth part of the first and the eight part of the second are in the ratio 5:4. Then the second part is

Answer 1

let one part be x

therefore, other part will be 171-x

one fifth part of first part =x/5

one eighth part of second part=(171-x)/8

given ratio, 5:4

as per question,

x/5 * 8/(171-x) = 5/4

(8x) /(171-x) = 25/4

32x = 4275 - 25x

x = 4275/57

x= 75

so the second part is 171-x =171 - 75=96