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lf two digit number is four times the su...

lf two digit number is four times the sum of its digits and twice the product of digits. Find the number.

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Verified by Experts

The correct Answer is:
36
Let the tens digit be x and units digit be y. Then,
`(10x+y)=4(x+y)implies6x=3yimpliesy=2x.`
`(10x+y)=2xyimplies(10x+2x)=4x^(2)implies4x^(2)-12x=0`
`implies" "4x(x-3)=0impliesx=3" "[because" "xne0]`
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