Question

The ages of Adam, Ben and Caleb are in the Ratio 5:7:11. Next year, they will be in the ratio 8:11:17. How old are they all now?

Answer 1

Step-by-step explanation:

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Answer: Age of Adam, Ben and Caleb are 15 years, 21 years,and 33 years respectively.

Step-by-step explanation:

Since we have given that

Ratio of ages of Adam, Ben, and Caleb is given by

5:7:115:7:11

so, let the age of Adam be 5x

Let the age of Ben be 7x

Let the age of Caleb be 11x

After one year, their age will be

Adam's age = 5x+1

Ben's age = 7x+1

According to question, it becomes,

5x+1 =8

7x+1=11

Using cross multiplication

11(5x+1)=8(7x+1)

55x+11=56x+8

11−8=56x−55x

3=x

So, Their age will be

Adam's age is given by

5\times 3=155×3=15

Ben's age is given by

7\times 3=217×3=21

Caleb's age is given by

11\times 3=3311×3=33

Hence, Age of Adam, Ben and Caleb are 15 years, 21 years,and 33 years respectively.

Answer 2

Step-by-step explanation:

Ages Ratio of Adam : Ben : Caleb = 5 : 7 : 11

and Ages after 1 year will be = 8:11:17

So from Above we have

= > Adam / Ben = 5 / 7 ------------( 1 )

and After 1 year

=> Adam + 1 / Ben +1 = 8 / 11 -------- ( 2 )

So solving 1 and 2 eq_ns we hve

Adam = 15 and Ben = 21

Hence Caleb = 33.

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