SOLUTION: The tens digit of a certain number is 7 less than the units digit. The sum of the squares of the two digits is 85. Find the number
Algebra.Com
Question 344807: The tens digit of a certain number is 7 less than the units digit. The sum of the squares of the two digits is 85. Find the number
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
y-x=7 y=x+7
x^2+y^2=85
x^2+(x+7)^2=85
x^2+x^2+14x+49-85=0
2x^2+14x-36=0
(2x+18)(x-2)=0
x-2=0
x=2
y=2+7=9
92 is the answer.
Proof:
9^2+2*2=85
81+4=85
85=85
RELATED QUESTIONS
the tens digits of a certain number is 7 less than the units digit .the sum of the... (answered by Edwin McCravy)
the tens digits of a certain number is 7 less than the units digit .the sum of the... (answered by ankor@dixie-net.com)
The units digit of a two-digit number is 2 less than the tens digit. The sum of the... (answered by JulietG)
The tens digit of a certain number is 3 more than the units digit. The sum of the squares (answered by bucky)
the tens digits of a certain number is 7 less than the u digit .the sum ofnits the... (answered by richwmiller,josgarithmetic)
The sum of the digits of a two-digit number is 13. Twice the tens digit is two less than... (answered by josgarithmetic)
The sum of the digits of a two-digit number is 13. The tens digit is seventeen
less... (answered by ikleyn,josgarithmetic)
A two digit number is two less than six timers the sum of its digits. The tens digit is... (answered by Paul)
the sum of the digits of a 2-digit number is 7. The tens digit is one less than 3 times... (answered by Mathtut)