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Divide 75 into two parts so that one part is two-thirds of the other. What is the larger part?

Competition practiceNumber System, HCF & LCM

A45
B30
C50
D25

Step-by-Step Solution

Let the larger part be

x

. Then

x + 2 x /3 = 75

, so

5 x /3 = 75

and

x = 45

. The other part is 30.

Answer: A) 45

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