Let x be the number.
and (x-17) is the other number lesser than that number:
x + (x-17) = 125
x + x - 17 = 125
2x - 17 = 125
*transpose -17 to the right side of the equation becomes,
2x = 125 + 17
2x = 142
*Divide both sides of the equation by 2 to find x.
2x/2 =142/2
X=71
*Substitute 71 to (x-17) to find the other number because the question says that the one number is 17 less than the other.
(x-17)
71 - 17 = 54
Therefore: x-17 is equals 54
FINAL ANSWER: The number are 71 and 54. Their sum is 125
To check, SUBSTITUTE the VALUE OF "x" in the equation and check their sum:
X=71
x + (x-17) = 125
71 + 71 - 17 = 125
125 = 125
Also check if one number is 17 less than the other:
71 - 54 = 17
So therefore 71 and 54 are the numbers. :)
