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A man decided to donate 60000 collected from his three sons to Prime Minister Relief Fund. The elder son contributed 3/8 of his youngest brother's contribution while the second son contributed 1/2 of his youngest brothers share. Find the contribution of all.​

User Housetier
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1 Answer

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Answer: Elder son: 12,000

Second son: 16,000

Youngest brother: 32,000

Step-by-step explanation: According to the given question.

The elder son contributed 3/8 of his youngest brother's contribution which means he had contributed (3/8) *x.

The second son contributed 1/2 of his youngest brother's share which means he had contributed (1/2) * x.

The sum of all three contributions = 60000

So,

x+(3/8)*x + (1/2)*x = 60000

The next step is to simplify the equation:-

8x + 3x + 4x = 480000

After adding all the terms:-

15x = 480000

Dividing both sides of the equation by 15:-

x= 480000/15

x= 32000

The youngest brother's contribution is 32000

Now We can able to find the contribution of each son:-

Youngest brother (x) = 32,000

Elder son = (3/8) * x

= (3/8) * 32,000 = 12,000

Second son = (1/2) * x

= (1/2) * 32,000 = 16,000

User Pedery
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