SOLUTION: Tom is three times as old as Mark. Twice Mark's age plus Tom's age is 90. How old is each person

Question 440232: Tom is three times as old as Mark. Twice Mark's age plus Tom's age is 90. How old is each person
Found 2 solutions by stanbon, rwm:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Tom is three times as old as Mark. Twice Mark's age plus Tom's age is 90. How old is each person
---
Equations:
t = 3m
2m + t = 90
----
Substitute for "t" and solve for "m":
2m + 3m = 90
5m = 90
m 18 (Mark's age now)
t = 3m = 54 (Tom's age now)
===============================
Cheers,
Stan H.
=============
Answer by rwm(914) (Show Source): You can put this solution on YOUR website!
we have two unknowns so we need two equations.
t=3m
2m+t=90
2m+3m=90
5m=90
m=18
t=54
check
36+54=90
ok

RELATED QUESTIONS
Tom is three times as old as Mark. Twice Mark's age plus Tom's age is 90. How old is each (answered by jorel1380)
Hannah, Mark and Tom have a combined age of 68. Hannah is twice as old as the difference... (answered by ptaylor,Deina)
Tom is a certain age. Meghan is three times Tom's age plus four years. Their combined age (answered by josgarithmetic,MathTherapy)
Tom is 3 times as old as Todd. In 2 years Tom�s age will be 6 years more than 2 times as... (answered by josmiceli)
Tom is 4 times as old as Todd. In 6 years Tom�s age will be 10 years more than 2 times as (answered by josgarithmetic,MathTherapy)
Three times the sum of Jim�s and Tom�s ages is equal to twelve times the difference of... (answered by josgarithmetic)
Sandy's age is three times Tom's age. Four years from now, Sandy will be twice as old as (answered by josmiceli)
tom is now 4 times as old as todd.in three years tom's age will be 13 years more than 2... (answered by JBarnum)
Mark is 3 times as old as Julie. The difference in their ages is 10 years. What is... (answered by god2012)