Question

750 is divided into two parts such that twice the first part is equal to thrice the second part. Find the larger of the two parts.​

Answer 1

Answer:

How can I divide 75 into two parts so that one part is 2/3 of the other?

X×1 + X×2/3 = 75

X × (1 + 2/3) = 75

X × (3/3 + 2/3) = 75

X × 5/3 = 75

X = 75 / (5/3) = 75 × (3/5) = 75 × 3 / 5 = (75/5) × 3 = 15 × 3 = 45

So, the 1st part is 45, and the second is 45 × 2/3 = 45 / 3 × 2 = 30.

Verification: 45 + 30 = 75.

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Step-by-step explanation:

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Answer 2

Answer:

450

Step-by-step explanation:

Let the first part be x

A/Q, 2x+3x=750

5x=750

x=750/5=150

Therefore the larger part = 3x=3×150=450