Question 767204: The sum of two values is 53. One value is 3 more than the other. What is the larger of the two values? Found 2 solutions by algebrahouse.com, 2897696:Answer by algebrahouse.com(1659) (Show Source):
x + x + 3 = 53 {sum of the two values is 53}
2x + 3 = 53 {combined like terms}
2x = 50 {subtracted 3 from each side}
x = 25 {divided each side by 2}
x + 3 = 28 {substituted 25, in for x, into x + 3}
You can put this solution on YOUR website! First make variables for unknown:
since one of the value is 3 more than the other, one values can be x and the other 3+x.
now that we have the variables, make an equation using variable
3+x+x=53 now solve for x
3+2x=53
-3 >>-3
-------
2x = 50
-- >>--
2 >>> 2
x=25
now that we have found one of the numbers, we need to find the other. use equation 3+x (from variables)
3+25=28
so the two numbers are 28&25 since 28>25, 28 is answer
ANSWER: 28