Question

The means of the age of 3 student is 15 if there the age of the ratio 4 is to 5 is to 6 respectively find their ages

Answer 1

Answer: The ages will be 12,15and 18

Explanation:let X,y,z be the ages.

X+y+z/3=15

X+y+z=45

Now,

X:y:z=4:5:6

Therefore,

X/y=4/5

5x=4y

Y=5/4x...(1)

Also,

Y/z=5/6

Y=5/6z....(2)

Now, from (1) and (2) equating the value of y we get

5/4x=5/6z

X=2/3z...(3)

And

From (1)

Y=5/4x

Y=5/6z...(4)

We know that X+y+z=45

From (3) and (4)

2/3z+5/6z+z=45

15z=270

Z=18

Therefore, putting the value of z in (3)and (4) we get

X=12 and y=15