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Sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers? A) 11 and 4 B) 3 and 11 C) 11 and 33 D) 40 and 4

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Answer:

C

Explanation:

let the two numbers be x and y, with x greater than y , then

x is 3 times as large as y , that is x = 3y

given the sum of the two numbers is 44 , then

x + y = 44 → (1)

substitute x = 3y into (1)

3y + y = 44

4y = 44 ( divide both sides by 4 )

y = 11

and x = 3y = 3 × 11 = 33

the two numbers are 11 and 33

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