Question

The sum of the ages of Aarti , Bhuvan and carryminati is 88 years . Two years hence the ratio of ages of Aarti and carryminati will be 5:6 and the ratio of buvan two years ago and carryminati 2 years hence is 2:3 . Find the age of carryminati 6 years hence.

Answer 1

Answer:

Step-by-step explanation:

A+B+C=88

(a+2)/(c+2)=5/6

6(a+2)=5(c+2)

6a+12=5c+10

6a-5c=-2

6a-5c+2=0

6a=5c-2

a=5c-2/6---(1)

(b-2)/(c+2)=2/3

3b-6=2c+4

3b-2c-10=0

3b=2c+10

b=2c+10/3--(2)

substitute

5c-2/6+2c+10/3+c=88

(5c-2)+(2c+10)*2+6c=88*6

15c+18=528

c=34

6 years hence=34+6=40