SOLUTION: Please help me answer this number problem: One number is more than another and their sum is 48. Find the larger number.

Question 927702: Please help me answer this number problem:
One number is more than another and their sum is 48. Find the larger number.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you have two equations.
one of them is an inequality.
the inequality is:
x > y
the equation is:
x + y = 48
solve for x in the equation of x + y = 48 to get:
x = 48 - y
replace x with 48 - y in the inequality of x > y to get:
48 - y > y
solve for y in this inequality to get:
48 > 2y
divide both sides of the inequality by 2 to get:
24 > y
you have two requirements.
y < 24
x = 48 - y
keep to these two requirements and the equation and the inequality will always be true.
for example:
y = 20
x = 48 - y = 28
x > y becomes 28 > 20 which is true.
x + y = 48 becomes 28 + 20 = 48 which becomes 48 = 48 which is true.
any selection of y less than 24 and any corresponding selection of x = 48 - y will result in the inequality and the equation to be always true.

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