Divide 54 into two parts so that four times the greater equals five time the less​

Divide 54 into two parts so that four times the greater equals five time the less​

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  1. Let the both the parts be 'x' and 'y'
    x>y
    We know that 4x = 5y
    so x = 5y/4
    x + y = 54
    Replacing x we get
    (5y/4) + y = 54
    (5y +4y)/4 = 54
    9y = 216
    y = 24
    Replacing y in ' x+y = 54'
    we get x = 30

    Hence the larger part is 30 whereas the smaller part is 24

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