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Question
Sum of two numbers is 74. One of the numbers is 10 more than the other. What are the numbers?
Sum
Solution
The sum of these two numbers x and x + 10 is 74.
This means that x + (x + 10) = 74.
or 2x + 10 = 74
Transposing 10 to RHS,
2x = 74 - 10
or 2x = 64
Dividing both sides by 2,
x = 32
This is one number (x) = 32
The other number is x + 10 = 32 + 10 = 42.
The desired numbers are 32 and 42.
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