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Question

The difference of two numbers is 45. The larger number is 5 more than 2 times the smaller number. Find the numbers

A
92 and 49
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B
98 and 40
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C
92 and 48
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D
95 and 40
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Solution

The correct option is D 95 and 40
Let the large number be x and the small number be y
Then difference of two numbers =xy=45 ----- (1)
The larger number is 5 more than 2 times the smaller number: x=5+2y ------ (2)
Put the value of x in equation (1) Then,
5+2yy=45
y=455
y=40
Now substitute the value of y in equation (1)
x40=45
x=45+40
x=95
Therefore the numbers are 95 and 40.

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