The sum of two numbers is 60. their difference is 24. find the numbers.

The Answer is: The first number is 42 and the second number is 18.

Step-by-step explanation:

Let f = first number and s = second number.

f + s = 60

f - s = 24

Solve for f:

f = 24 + s

Substitute:

24 + s + s = 60

2s = 36

s = 18, the Second Number

Solve for f:

f = 24 + s

f = 24 + 18 = 42, the First Number

Proof:

42 + 18 = 60

60 = 60

Then:

42 - 18 = 24

24 = 24

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