SOLUTION: alice is twice as old as bob.in 5 years time,the total of their ages will be 70. how old is aloce now

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Question 1094466: alice is twice as old as bob.in 5 years time,the total of their ages will be 70. how old is aloce now
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!

Write a equation for each statement
:
alice is twice as old as bob.
a = 2b
in 5 years time,the total of their ages will be 70.
(a+5) + (b+5) = 70
a + b + 10 = 70
a + b = 70 - 10
a + b = 60
from the 1st equation replace a with 2b
2b + b = 60
3b = 60
b = 60/3
b = 20 yrs is Bob's age
then, obviously
2(20) = 40 yrs is Alice's age now
:
:
:
Check this using the 2nd statement
" in 5 years time, the total of their ages will be 70."
45 + 25 = 70



Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
alice is twice as old as bob.in 5 years time,the total of their ages will be 70. how old is aloce now
Let Alice's age be A

Then Bob's is: 

In 5 years, their ages will sum to 70, so their ages now sum to 60 (70 - 2 * 5, or 70 - 10)

We then get:  

2A + A = 120 ------- Multiplying by LCD, 2

3A = 120

A, or Alice is:  

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