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Elimination Method of Finding Solution of a Pair of Linear Equations

The sum of tw...

Question

The sum of two numbers is 95 and the larger number exceeds four times the smaller number by 5. Then half of the smaller number will be equal to:

A

18

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B

9

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C

72

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D

36

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E

None of the above

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Solution

The correct option is A 18
Let the number be x and y Then,
x + y = 95 --- (1)
x - 4y = 5 -- - (2)
Subtracting (2) from (1) we get y = 18

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