# Math Help - ages problem

1. ## ages problem

The ration of Jonathan's age to David's is 6:5 in seven years it will be 7:6. Whar are their ages now?

This is my homework, and although I tried many times over was not able to solve it. Can anybody explain? Thanks!!!!

2. You can set up two systems and solve.

Let j = Jonathans age and d = davids age.

NOW: 6j=5d

7 years from now: 7(j+7)=6(d+7)

Solve for j and d.

3. Hello, AlexOrme!

Another approach . . .

The ratio of Jonathan's age to David's is 6:5
Iin seven years it will be 7:6.
Whar are their ages now?
We are told that: . $\frac{\text{Jonathan}}{\text{David}} \:=\;\frac{6a}{5a}$ . for some integer $a.$

In seven years, they are both seven years older

. . and the ratio is 7-to-6: . $\frac{6a+7}{5a+7} \:=\:\frac{7}{6}$

Solve for $a$ . . . and then their ages.