The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

10 and 19

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8 and 17

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19 and 6

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12 and 13

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Solution

The correct option is B 8 and 17
Let the number be x.

Then the other number = x + 9

Sum of the two numbers = 25

⇒ x + x + 9 = 25

⇒ 2x + 9 = 25

⇒ 2x + 9 - 9 = 25 - 9

⇒ 2x = 16

⇒ 2x/2 = 16/2

⇒ x = 8 and x + 9 = 8 + 9 = 17.

Therefore, the required numbers are 8 and 17.

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