A 2 digit number is 5 times its units digit. the sum of the digits is 7. find the number

1 answer:

6 0

X - tens digit
y - units digit

$10x+y=5y\\
x+y=7\\\\
10x=4y\\
x=7-y\\\\
10(7-y)=4y\\
70-10y=4y\\
14y=70\\
y=5\\\\
x=7-5\\
x=2\\\\
10\cdot2+5=\boxed{25}$

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