Question

A sum of money is shared between Ali and

Ben in the ratio 3:2. The difference in Ali's
and Ben's share is $120. Find the amount of
money received by Ben.​

Answer 1

Ben' share = 2(600/5) = $240

Explanation:

Let the sum of money be x

Given that the ratio between Ali and Ben is 3:2

As adding both parts of ratio gives 5 parts so,

For finding one part = x/5

So according to given condition:

Ali's share(one part) + Ben's share(one part) = 120

3(x/5) - 2(x/5) = 120

By simplifying:

x/5 = 120

Multiplying both sides by 5

x = 600

So the total amount is 600

Ali's share would be = 3(600/5) = $360

Ben' share = 2(600/5) = $240

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