SOLUTION: 1. Samuel is 2/3 as old as his brother. In five years, he will be 3/4 as old as his brother will be. Find their present ages. a. If x = the brother’s age now, write an expressio

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: 1. Samuel is 2/3 as old as his brother. In five years, he will be 3/4 as old as his brother will be. Find their present ages. a. If x = the brother’s age now, write an expressio      Log On

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Question 739589: 1. Samuel is 2/3 as old as his brother. In five years, he will be 3/4 as old as his brother will be. Find their present ages.
a. If x = the brother’s age now, write an expression for Samuel’s present age in terms of x.

b. Write an expression for the brother’s age in five years.

c. Write an expression for Samuel’s age in five years.

d. Write an equation that could be used to solve the problem.

e. Solve the equation, showing each step of your work. Find both Samuel’s present age and his brother’s present age.


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Let s be samuel's age now
let x be the brother's age now
s=2/3x
in five years samuels age will be s+5
in five years brothers age will be x+5
s+5=3/4(x+5)
2/3x+5=3/4(x+5)
multiply by 12
24/3x+60=3*12/4(x+5)
8x+60=9x+45
15=x
s=2/3x=2/3*15=10
s=10 x=15
in five years
15 and 20
check
15=3/4 *20
15=15
ok