Divide 54 in to two parts so that four times the greater equals five times the less

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

Step-by-step explanation:

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

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step-by-step explanation: