Question 102517
Let C = Cheryl's present age and B = Brad's present age.
From the problem description, you can write:
1) C = 2B+13  "Cheryl is 13 years more than twice as old as Brad"
2) (C+11) + (B+11) = 92 "In 11 years the sum of their ages will be 92"
Substitute the C= 2B+13 from equation 1) into equation 2) and solve for B.
2a) (2B+13)+11 +B+11 = 92  Simplify.
3B+35 = 92  Subtract 35 from both sides.
3B = 57  Divide both sides by 3.
B = 19 This is Brad's present age. Use equation 1) to find Cheryl's present age.
C = 2B+13
C = 2(19)+13
C = 38+13
C = 51 This is Cheryl's present age.