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Sum of two numbers is 74. One of the number is 10 more than the other. What are the numbers? -

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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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