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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?
Wiki User
∙ 11y ago
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
Wiki User
∙ 11y ago
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