Question

PLEASE HELP! Alg 2. Reward and medal. Need help with this I'm LOST..
2.) A certain two-digit number has a value that is 8 less than 5 times the sum of the digits. The Tens digit is 3 less than the units digit. Find the number?
(original number 10T + U)
(Reversed number 10u+t)
(sum (T+U)

Answer 1

Let the two digits be T and U
The value of this number is: 10*T + U
Sum of the digits is (T + U)
"A certain two-digit number has a value that is 8 less than 5 times the sum of the digits."
10T + U = 5(T + U) - 8
10T + U = 5T + 5U - 8
10T - 5T = 5U - U - 8
5T = 4U - 8 ------- (1)

Answer 2

"The Tens digit is 3 less than the units digit."
T = U - 3 ----------- (2)

Solve (1) and (2)

Answer 3

what does the (1) (2) ----- mean?????????

Answer 4

Equations one and two for easy reference later on.

Answer 5

Take T from equation (2) and substitute in equation (1)