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Question

If 52y+5=4y+2, then y=10x. Find x.

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Solution

Given, 52y+5=4y+2

5(y+2)=4(2y+5) ...[Cross-multiplying the denominators]

5y+10=8y+20 ...[By Distribution Law].

Transposing y terms to one side, we get,
5y8y=2010
3y=10
y=103.

But, given, y=10x.

Comparing, we get, x=3.

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