two numbers are in the ratio 5 : 7 if the sum 132 find them
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Here is you answer mate
Let the numbers be x and y,
Let ratio 5/7 = x/y,
making x subject of equations
x = 5y/7 ———————- (*)
NB. y is the larger number since it has higher ratio.
but x + y = 132 —————- (1)
substitute (*) in (1)
5y/7 + y = 132 ———— (2)
(5y + 7y)/7 = 132
=> 5y + 7y = 132 * 7
=> 12y = 924
=> y = 924/12
=> y = 77
and x +y = 132
thus x + 77 = 132
x = 132 - 77
x = 55
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