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

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) (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

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