SOLUTION: Can you please help,Von is thrice as old as his brother Jon. Four years ago, he was 4 years less than 5 times Jon�s age at that time. How old are they now?

Question 630681: Can you please help,Von is thrice as old as his brother Jon. Four years ago, he was 4 years less than 5 times Jon�s age at that time. How old are they now?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
v = von's age
j = jon's age.
v = 3j is your first equation.
v-4 = 5(j-4)-4 is your second equation.
you have 2 equations that need to be solved simultaneously.
they are:
v = 3j
v-4 = 5(j-4)-4
simplify the second equation to get:
v-4 = 5j-20-4 which simplifies further to:
v-4 = 5j-24
add 4 to both sides of this equation to get:
v = 5j-20
your 2 equations are now:
v = 3j
v = 5j-20
since both expressions on the right side of each equation are equal to v, you can set these expressions equal to each other to get:
3j = 5j-20
subtract 5j from both sides of this equation to get:
-2s = -20
divide both sides of this equation by -2 to get:
j = 10
your first equation was:
v = 3j
this makes v = 30
your second equation was:
v-4 = 5(j-4)-4
replace v with 30 and j with 10 to get:
30-4 = 5(10-4)-4 which simplifies to:
26 = 50-20-4 which simplifies further to:
26 = 30-4 which simplifies further to:
26 = 26
the values of 30 for v and 10 for j are good.

RELATED QUESTIONS
Hi can someone help me solving this problem. Thank you very much. 1. Erwins age is... (answered by MathTherapy)

1.Two years ago, Greg was 3 times as old as his brother. In four years, he will be only... (answered by AnlytcPhil)

Orly's age is 4 years more than thrice Perla's age. Four years ago, Orly was four times... (answered by ankor@dixie-net.com)

Stevie is twice as old as his brother. Four years ago he was four times as old a s his... (answered by jonvaliente)

father is twice as old as his son. three years ago, he was 19 less than thrice the age... (answered by ankor@dixie-net.com)

You are 4 years older than your brother. Two years ago, you were 1.5 times as old as he... (answered by hayek)

You are 4 years older than your brother. Two years ago, you were 1.5 times as old as he... (answered by ankor@dixie-net.com)

[ If Jason were 57 less than 6 times his present age, he would be 3 times as old as he... (answered by TimothyLamb)

Fred is 3 times old than his sister. Four years ago he was 5 times as old as his sister.... (answered by macston)