Question 1204169
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I very much disagree with the other tutor when he says solving a problem like this is easier with two unknowns than with one.<br>
Compare the algebra required to solve the problem with his solution using two unknowns to that required in the solution below using one unknown.<br>
Using the information that 5 years ago Bill's age was 3 times Jane's age....<br>
Let x = Jane's age 5 years ago
Then 3x = Bill's age 5 years ago<br>
Then their ages now are x+5 and 3x+5.<br>
Bill's age now is 1 less than twice Jane's age now:<br>
{{{3x+5=2(x+5)-1}}}
{{{3x+5=2x+9}}}
{{{x=4}}}<br>
Their ages 5 years ago were x=4 and 3x=12.<br>
Their ages now are 4+5=9 and 12+5=17.<br>
ANSWER: Bill's age now is 17<br>