SOLUTION: John is 25 years younger than his father. The sum of their ages is 53. What is Johns age? the choices are (1)39 (2)28 (3)25 (4)14

Question 665959: John is 25 years younger than his father. The sum of their ages is 53. What is Johns age?
the choices are (1)39 (2)28 (3)25 (4)14

Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Establish the equation
x = y - 25
x+y = 53
...
Substitute x in the second equation
...
y-25+y = 53
2y -25 = 53
...
Isloate y
2y = 53 + 25
2y = 78
...
Divide both sides by 2
years old for father
...
Rearrange the first equation as y = x + 25 and substitute into the second equation.
x + x + 25 = 53
2x + 25 = 53
Isolate x
2x = 53 - 25
2x = 28
Divide both sides by 2
years old for John
................
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