Divide 282 into two parts such that the eighth part of the first and the fifth part of the second are in the ratio 4 to 3?

if first part is considered as x, then second part is 282-x

eighth part of first =x/8

fifth part of second =(282-x)/5

given condition

x/8:(282-x)/5 = 4:3

x/8:(282-x)/5= 4/3

5x/8(282-x)= 4/3

15x = 32(282-x)

15x = 9024 - 32x

15x + 32x = 9024

47x = 9024

x = 9024/47 = 192

so, first part = 192

second part = 282 - x = 282 - 192 = 90

enjoy!

G.SUNAND

GRADE VIII