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Question

Sum of two numbers is 35 and their difference is 13. Find the greater number.

A
21
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B
24
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C
26
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D
25
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Solution

The correct option is B 24
Let the greater number be x and smaller number be y.

x+y=35 ....(1)

xy=13 .....(2)

On adding equations (1) and (2), we get

2x=48

x=24

On substituting the value of x in equation (1), we get

24+y=35

y=11

So, x=24 and y=11

Therefore, the greater number is 24.

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