exploring mathematics elementary algebra....the sum of the digits of a two-digit number is 12. the value of the number is equal to 11 times the tens digit. find the number.

2 answers

Assistance needed.
let the unit digit be x
let the tens digit be y
so the "value" of the two digit number is 10y + x

and then you said:
10y + x = 11y
x = y
but we also know x+y = 12

mmmh? Can you think of two numbers that are equal and add up to 12 without doing the algebra?