The units’ digit of a two-digit number is 7 more than the tens’ digit. If 26 is added to the number, the result obtained is five times the sum of the digits. Find the number.

Answer 1

u = t+7
10t+u + 26 = 5(t+u)

now just crank it out.

Answer 2

how to crank it out

Answer 3

substitute t+7 for u and you get

10t + t+7 + 26 = 5(t + t+7)
11t + 33 = 10t + 35
t = 2
so, u=9

and the number is 29

check: 29+26 = 55 = 5(2+9)