R + S + T = 55

2R = S

3T = S

By looking at what we have we can see that we have a relation between R & S and T & S.

Solve the 2nd and 3rd equations for R and T.

2R = S

R = S/2

3T = S

T = S/3

Substitute these two into the first equation.

R + S + T = 55

(S/2) + S + (S/3) = 55

Multiply both sides by 6 to take out the fractions.

6S 6S

--- + 6S + --- = 6 x 55

2 3

3S + 6S + 2S = 330

11S = 330

Divide both sides by 11

11S 330

----- = ------

11 11

S = 30

Plug this into 3T = S

3T = 30

T = 10

Plug S = 30 into 2R = S

2R = 30

R = 15

Test it in the first equation.

R + S + T = 55

15 + 30 + 10 = 55

15 + 40 = 55

55 = 55 Yep, that works.

Ron is 15.

2R = S

3T = S

By looking at what we have we can see that we have a relation between R & S and T & S.

Solve the 2nd and 3rd equations for R and T.

2R = S

R = S/2

3T = S

T = S/3

Substitute these two into the first equation.

R + S + T = 55

(S/2) + S + (S/3) = 55

Multiply both sides by 6 to take out the fractions.

6S 6S

--- + 6S + --- = 6 x 55

2 3

3S + 6S + 2S = 330

11S = 330

Divide both sides by 11

11S 330

----- = ------

11 11

S = 30

Plug this into 3T = S

3T = 30

T = 10

Plug S = 30 into 2R = S

2R = 30

R = 15

Test it in the first equation.

R + S + T = 55

15 + 30 + 10 = 55

15 + 40 = 55

55 = 55 Yep, that works.

Ron is 15.