# Thread: Ratio Question

1. ## Ratio Question

I am having problem solving the following question.

Q)A sum of money is divided among three persons X, Y and Z in the ratio 10 : 7 :5. If Y gets $14 more than Z, how much will X get and what is the total sum of money ? Solution: sum of ratios=22 Let total amount =$x

Ys share= (7/22) * x

Z share = (5/22) * x

after this the solution i cant understand but i will share it here for any help..

14 should have been added to Ys share but in the solution its added to Z s share.

i need guidence from here onward to find the value of Xs share.

2. ## Re: Ratio Question

A sum of money is divided among three persons X, Y and Z in the ratio 10 : 7 :5. If Y gets $14 more than Z, how much will X get and what is the total sum of money ? then each share is$7

3. ## Re: Ratio Question

Originally Posted by haftakhan
I am having problem solving the following question.

Q)A sum of money is divided among three persons X, Y and Z in the ratio 10 : 7 :5. If Y gets $14 more than Z, how much will X get and what is the total sum of money ? Solution: sum of ratios=22 Let total amount =$x

Ys share= (7/22) * x

Z share = (5/22) * x

after this the solution i cant understand but i will share it here for any help..

14 should have been added to Ys share but in the solution its added to Z s share.

i need guidence from here onward to find the value of Xs share.
Let X, Y, Z represent the amounts each receives. Let T represent the total amount.

Then like you say, X + Y + Z = T, X = 10T/22, Y = 7T/22, Z = 5T/22.

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# solve th questin a sum of money is divided among three person X,Y,Z in the ratio 10:7:5. if Y gets $14 more than Z how much will X gets and what is the toal sum of money , # a sum of money was shared between two persons a and b in the ratio 5:7 if a receives$40 calculate the sum of money shared

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