SOLUTION: find the two digitd numbers which has the square of sum is equal to the obtained number by reversing its digits

Question 324606: find the two digitd numbers which has the square of sum is equal to the obtained number by reversing its digits
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
[xy]=n

x and y cant = 0 but can be 1-9
x+y=2^2=4 nope has only 1 digit
x+y=3^2=6 nope has only 1 digit
x+y=4^2=16: y=1 x=6 x+y=7 nope the sum doesnt equal the original sum
x+y=5^2=25: y=2 x=5 x+y=7 nope the sum doesnt equal the original sum
x+y=6^2=36: y=3 x=6 x+y=9 nope the sum doesnt equal the original sum
x+y=7^2=49: y=4 x=9 x+y=13 nope the sum doesnt equal the original sum
x+y=8^2=64: y=6 x=4 x+y=10 nope the sum doesnt equal the original sum
x+y=9^2=81: y=8 x=1 x+y=9 yes!!!
x+y=10^2=100 nope has 3 digits
by process of elimination
x=1 y=8
check to make sure:

correct
RELATED QUESTIONS
Find the 2 digit number which has the square of the sum of its digits equal to the number (answered by ankor@dixie-net.com)

find a two digit number which has the square of sum of its digits equal to the number... (answered by stanbon)

The sum of a two digit number and the number obtained by reversing its digits is a square (answered by KMST)

a two-digit number is equal to 3 times the sum of its digits.if the number obtained by... (answered by stanbon)

the sum of two digit number and the number obtained by reversing the order of its digits... (answered by lwsshak3)

Find all two-digit numbers that give a sum of 154 when the original number and the number (answered by stanbon)

A certain number is less than a number obtained by reversing the digits by 9.Also the sum (answered by Alan3354,ikleyn)

find the two digit number wich has the squere of the sum of its digits equal to the... (answered by ankor@dixie-net.com)

A two-digit number is eight times the sum of its digit. When the number is added to the... (answered by ankor@dixie-net.com)