Question

A number of two digits is such that twice the ten digits is 8 less than seven times the unit digit. When the digits are reversed, the number is decreased by 9. What is the number?

Answers

Reiny
let the tens digit be x, and the unit digit be y
So the number is 10x + y,
the number reversed is 10y + x

10x+y - (10y+x) = 9
9x - 9y = 9
x - y = 1 or x = y+1 **

2x = 7y-8
sub in **
2(y+1) = 7y - 8
2y + 2 = 7y - 8
-5y = -10
y = 2

The number is 32

check:
the number reversed is 23, which is 9 less than 32.
Twice the ten digit is 6
7 times the unit digit = 14, which is 8 less than 6
My answer is correct.

Zulaiykherh
Pls how did you get 32 as the number
Hamzat
Superb
Prosper
Thanks,but why is it 10x+y and not x+y

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