a positive two digit number is represented by 10t+u. the sum of the squares of the digits is 26. if the number is decreased by the number with its digits reversed, the result if 36. find the two digit number...

Question

anonymous · Answer

answer choices: 51, 26, 38, 67

anonymous · Answer

t^2 + u^2 = 26

10t + u - 10u - t
= 9t - 9u
= 36

9 (t-u) = 36

t - u = 4

anonymous · Answer

t = u + 4

(u + 4)^2 + u^2 = 26

u^2 + 8u + 16 + u^2 = 26

2u^2 + 8u -10 = 0

u^2 + 4u - 5 = 0

(u-1) (u + 5) = 0

u = 1, -5

anonymous · Answer

u must be 1 since it's a digit.

t^2 + 1 = 26

t^2 = 25

t = -5, 5

t must be 5 since it's a digit.

answer is 51.

anonymous · Answer

Do you understand, ma'am?

anonymous · Answer

thank you :D

anonymous · Answer

call me emily.. ma'am makes me feel really old :P

anonymous · Answer

ok emily do you understand?

anonymous · Answer

yes this really helped.. thanks again..