SOLUTION: Please helpe me solve this math problem: Cheryl is thirteen years more than twice as old as Brad. In 11 years the sum of thire ages will be 92. How old is Cheryl now?

Question 102517: Please helpe me solve this math problem:
Cheryl is thirteen years more than twice as old as Brad. In 11 years the sum of thire ages will be 92. How old is Cheryl now?
Found 2 solutions by Earlsdon, oberobic:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
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.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Brad is the youngest, so let his age be x. That means Cheryl is 2x+13 years old.
In 11 years Brad will be x + 11 years old. Cheryl will be 2x+13+11=2x+24 years old. We also know their ages will sum to 92 at that time, so:
x+11+2x+24=92
Simplifying we have:
3x+35=92
Subtracting 35 from both sides:
3x=57
Dividing by 3:
x=19
So, Brad is 19 and Cheryl is 2(19)+13=38+13=51.
In 11 years, Brad will be 30 and Cheryl will be 62.
Checking, we findthat 30+62=92, which is the required check.
RELATED QUESTIONS
Cheryl is eleven more than three times as old as Brad. In 7 years the sum of their ages... (answered by ikleyn)
Henry is ten more than two times as old as Cheryl. In 20 years the sum of their ages will (answered by ankor@dixie-net.com)
Denise is six more than two times as old as Cheryl. In 21 years the sum of their two... (answered by josmiceli)
Sarah is 8 more than 2 times as old as Brad. In five years the sum of the ages will be... (answered by arden42)
Brad is nine more than two times as old as Ben. In 15 years the sum of their ages will... (answered by scott8148)
Cheryl is three years more than three times as old as Ben. In 20 years the sum of their... (answered by lwsshak3)
Cheryl is seven more than two times as old as Henry. In 5 years the sum of their ages... (answered by stanbon)
Cheryl is two more than two times as old as Henry. In 5 years the sum of their ages will... (answered by Cromlix)