SOLUTION: if john is twice as old as his son in 20 years the ratio of their ages will be 4:3 what is Johns sons current age?

Algebra.Com
Question 234752: if john is twice as old as his son in 20 years the ratio of their ages will be 4:3 what is Johns sons current age?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
If john is twice as old as his son in 20 years the ratio of their ages will be 4:3,
what is John's son's current age?
:
let j = John's current age
Let s = Son's current age
:
=
Cross multiply
3(j+20) = 4(s+20)
3j + 60 = 4s + 80
3j = 4s + 80 - 60
3j = 4s + 20
:
It said,"John is twice as old as his son"
j = 2s
Substitute 2s of j in the above equation
3(2s) = 4s + 20
6s = 4s + 20
6s - 4s = 20
2s = 20
s = 10 yrs is son's current age
then
2(10) = 20 yrs is John's present age
:
:
Check solution in 20 yrs
40/30 = 4/3

RELATED QUESTIONS

John is twice as old as his son. In 42 years, the ration of their ages will be 4:3.... (answered by ankor@dixie-net.com)
John is twice as old as his son. In 42 years, the ratio of their age will be 4:3. what... (answered by drj)
mr c is twice as old as his son,in 42 years the ratio of their ages will be4:3 what is... (answered by checkley77)
Jake is johns father. The sum of their age is 44. In 14 years jake will be twice as old... (answered by stanbon)
James is now exactly twice as old as John. In three years Johns age will be two thirds of (answered by hamsanash1981@gmail.com)
shane is twice as old as his daughter in 42 years the ratio of thir ages will be 4:3 what (answered by josmiceli,Maths68)
father age is 3 times as old as his son. in 10 years time,he will be double of his sons... (answered by stanbon)
a father is 4 times as old as his son. in 5 years he will be 3 times as old as his son.... (answered by TimothyLamb)
Billy is twice as old as his son. In 10 years, the ratio of their ages will be 3:5. Find... (answered by mbarugel)