The sum of two numbers is 11. If one of the numbers exceeds the other by 9, find out both the numbers.

5, 14

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12, 13

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1, 10

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9, 16

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Solution

The correct option is C 1, 10
Let the number be x.
So, the other number will be x + 9

Given: Sum of two numbers = 11
Therefore, x + x + 9 = 11
$\Rightarrow$ 2x + 9 = 11
If x = 1,
$2 x + 9 = 2 \times 1 + 9 = 11$ (LHS = RHS)
Therefore, x = 1 holds good for the equation.
Therefore, one of the numbers will be 1.
And, the other number = x + 9 = 1 + 9 = 10

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