SOLUTION: Huilan is 6 years older that Thomas. The sum of their ages is 72. What is Thomas's age?

Algebra.Com
Question 4323: Huilan is 6 years older that Thomas. The sum of their ages is 72. What is Thomas's age?
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
First, assign the variables.
Let H = Huilan's age
T = Thomas's age.
H = T + 6
H + T = 72 Subsitute H from the first equation into the second equation.
(T + 6) + T = 72 Solve for T.
2T + 6 = 72 Subtract 6 from both sides.
2T = 66 Divide both sides by 2.
T = 33 Thomas's age is 33 years.
H = T + 6 = 33 + 6 = 39 Huilan's age is 39 years.
Check:
T+6 = 33+6 = 39
T+H = 33+39 = 72

RELATED QUESTIONS

Huilan is 6 years younger than Thomas. The sum of their ages is 82. What is Thomas... (answered by Alan3354,Glaviolette)
Huilan is 7 years older than Thomas. The sum of their ages is 65. What is Thomas's... (answered by ikleyn)
huilan is 14 years older than thomas. the sum of their ages is 84. what is thomas's... (answered by ikleyn,Alan3354)
Huilan is 14 years older than Thomas. The sum of their ages is 90. What is Thomas's age? (answered by greenestamps)
Huilan is 7 years younger than Thomas. The sum of their ages is 45 . What is Thomas's... (answered by addingup,MathTherapy,josgarithmetic)
Huilan is 10 years younger than Thomas. The sum of their ages is 36 . What is... (answered by josgarithmetic)
Huilan is 11 years younger than Thomas. The sum of their ages is 37. What is Thomas's... (answered by Alan3354)
Hulian is 15 years older than Thomas. The sum of their ages is 73. What is Thomas age... (answered by josgarithmetic)
hulian is 5 years older than thomas. the sum of their ages is 71. what is thomas's age? (answered by josgarithmetic)