The sum of the digits in a certain two-digit number is 8. If the number is multiplied by the unit's digit, the result is 156. Find the number.

Question

Type a equation and answer

Answer 1

T + U = 8 => T = 8 - U

U(10T + U) = 156

U(10 - 10U + U) = 156

U(80 - 9U) = 156

$9U^2-80U+156=0$

The quadratic formula gives an extraneous root and U = 6 so that T = 2, i.e. the number is 26