2 years ago

A two digit number is 4 times the sum of its digits and twice the product of its digit.FIND THE NUMBER

1 answer:

5 0

X - tenths digit
y - units digit

$10x+y=4(x+y)\\
10x+y=2xy\\\\
10x+y=4x+4y\\
10x+y=2xy\\\\
6x=3y\\
10x+y=2xy\\\\
3x=y\\
10x+y=2xy\\\\
10x+3x=2x\cdot3x\\
13x=6x^2\\
6x^2-12x=0\\
6x(x-2)=0\\
x=0 \vee x=2\\\\
y=3\cdot2\\
y=6\\\\
10\cdot2+6=\boxed{26}$

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