Question 802976: the sum of the units digit and the tens digit of a two digit number is 7. ia 3 is added to the number, the new number equals 11 times the tens digit of the original number.Find the original number
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! let a = the 10's digit
let b = the units
then
10a + b = the number
:
the sum of the units digit and the tens digit of a two digit number is 7.
a + b = 7
;
if 3 is added to the number, the new number equals 11 times the tens digit of the original number.
10a + b + 3 = 11a
b + 3 = 11a - 10a
b + 3 = a
rearrange, use elimination with the 1st equation
a - b = 3
a + b = 7
-----------Addition eliminates b, find a
2a = 10
a = 5
:
I'll let you find b, check your number in both statements
Find the original number
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