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Question

The sum of two numbers is 45 and one is twice the other. What is the smaller number?


A

30

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B

35

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C

15

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D

25

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Solution

The correct option is C

15


x + y = 45 …..(i)

x = 2y..(ii)

substituting from (ii) into (i) , we have

y + 2y = 45

3y = 45 ⇒ y = 15

From (i) : x + 15 = 45 ⇒ x = 45 – 15 = 30

So, the smaller number is 15 and the larger number is 30


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