SOLUTION: The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are the two numbers?

SOLUTION: The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are the two numbers?

Algebra.Com

Question 328660: The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are the two numbers?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let one number be x
the other number be y
x^2=y^2-23
x^2-y^2=-23..............1
x+1=y
substitute the value of y in equation1
x^2-(x+1)^2=-23
x^2-x^-2x-1=-23
-2x=-23+1
-2x=-22
x=-22/-2
x=11
y= x+1
y=12
RELATED QUESTIONS
The square of one number is 23 less than the square of a second number. If the second... (answered by Alan3354)

The square of one number is 23 less than the square of a second number. If the second... (answered by algebrahouse.com)

One number is 1 less than a second number. Twice the second number is 31 less than 5... (answered by lwsshak3)

One number is less than a second number. the first is more than times the second.... (answered by josgarithmetic)

One number is nine less than a second number. Three times the first is 12 more than 4... (answered by Alan3354,josgarithmetic)

twice one number is 28 more than a second number. when 23 is added to the second number... (answered by mananth)

one number is six more than the second number. Five times the first is 7 less than 4 time (answered by solver91311)

The square of a natural number is four more than two times another natural number. The... (answered by mananth)

Good day The square of a natural number is four times more than two times another... (answered by ewatrrr)