Question 7786
Let C be the clown's weight and T be the trapeze artist's weight.

Then: {{{C = T + 60}}} and {{{T = (2/3)C}}}
 Substitute the second equation into the first equation and solve for C.

{{{C = (2/3)C + 60}}} Simplify and solve for C. Subtract (2/3)C from both sides.

{{{(1/3)C = 60}}} Multiply both sides by multiplicative inverse of 1/3, or 3.

{{{C = 180 lbs}}} This is the clown's weight.

The trapeze artist weighs (2/3)C = (2/3)180 lbs = 120 lbs.