Question

A sum of 6000 AED is distributed amongst Rayhan, Rehan and Rihaan. Rayhan gets two third of what Rehan and Rihaan got together. Rihaan gets one third of what Rayhan and Rehan got together. Find the share of each person.

Answer 1

Answer:

Let number of boys = x

Let number of boys = xthen number of girls = x+7

Let number of boys = xthen number of girls = x+7x+x+7 = 41

Let number of boys = xthen number of girls = x+7x+x+7 = 412x = 34

Let number of boys = xthen number of girls = x+7x+x+7 = 412x = 34x = 17 = number of boys

Let number of boys = xthen number of girls = x+7x+x+7 = 412x = 34x = 17 = number of boys number of girls = 17 + 7 = 24

Let number of boys = xthen number of girls = x+7x+x+7 = 412x = 34x = 17 = number of boys number of girls = 17 + 7 = 24ratio = 24/17

Answer 2

Answer:

rayhan's share = 2400

rehan's share = 2100

rihaan's share = 1500

Step-by-step explanation:

let us assume rayhan as A,

                        rehan as B and

                        rihaan as C

given A+B+C=6000.....................EQUATION 1

and, A=2/3(B+C)

      3A=2B+2C..............................EOUATION 2

AND, C=1/3(A+B)

         3C=A+B................................EQUATION 3

from EDUATION 1 AND 3 WE GET

3C +C = 6000

4C=6000

C=1500

on substituting C value in EQUATIONS 2 AND 3 we get

A+B=4500......................................EQUATION 4

3A-2B=3000..................................EQUATION 5

on solving EQUATION 4 and 5 we get

A=2400 AND B = 2100

 

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