Answer The age of Jerry is 15 years old now and age of Jeff is 20 years old now. Explanation Given information : Five years ago, Jerry was 2 3 as old as Jeff. Ten years from now, he will be 5 6 as old as Jeff will be.. Formula used: Age problem. Step1. The problem asks for the Bob’s age and Claire’s age now. Step2. Let b = the Jerry’s age . Let c = the Jeff ‘s age . Step3. Use the facts of the problem to write two equations. Step4. Solve the equations. Calculation: Let b = the Jerry’s age now. Let c = the Jeff’s age now. Age 5 year ago Jerry b − 5 Jeff c − 5 According to the question, = b − 5 = 2 3 ( c − 5 ) = 3 ( b − 5 ) = 2 ( c − 5 ) = 3 b − 15 = 2 c − 10 = 3 b − 2 c = − 10 + 15 = 3 b − 2 c = 5 (i) Age 10 year now Jerry b + 10 Jeff c + 10 According to the question, = b + 10 = 5 6 ( c + 10 ) = 6 ( b + 10 ) = 5 ( c + 10 ) = 6 b + 60 = 5 c + 50 = 6 b − 5 c = 50 − 60 = 6 b − 5 c = − 10 (ii) Multiply equation (i) by 2and then subtract it with equation (ii) = 6 b − 4 c − 6 b + 5 c = 10 + 10 = c = 20 Putting value of c in equation (i) we get, = 3 b − 2 ( 20 ) = 5 = 3 b − 40 = 5 = 3 b = 5 + 40 = 3 b = 45 = b = 15 Hence, the age of Jerry is 15 years old now and age of Jeff is 20 years old now.

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Question

Chapter 9.7, Problem 3ST

To determine

To solve: the system of equations in two variables.

Expert Solution & Answer

Answer to Problem 3ST

The age of Jerry is 15 years old now and age of Jeff is 20 years old now.

Explanation of Solution

Given information:

Five years ago, Jerry was 23 as old as Jeff. Ten years from now, he will be 56 as old as Jeff will be..

Formula used:

Age problem.

Step1. The problem asks for the Bob’s age and Claire’s age now.

Step2. Let b = the Jerry’s age .

Let c = the Jeff ‘s age .

Step3. Use the facts of the problem to write two equations.

Step4. Solve the equations.

Calculation:

Let b = the Jerry’s age now.

Let c = the Jeff’s age now.

Age	5 year ago
Jerry	b−5
Jeff	c−5

According to the question,

=b−5=23(c−5) =3(b−5)=2(c−5)=3b−15=2c−10=3b−2c=−10+15=3b−2c=5 (i)

Age	10 year now
Jerry	b+10
Jeff	c+10

According to the question,

=b+10=56(c+10) =6(b+10)=5(c+10)=6b+60=5c+50=6b−5c=50−60=6b−5c=−10 (ii)

Multiply equation (i) by 2and then subtract it with equation (ii)

=6b−4c−6b+5c=10+10=c=20

Putting value of c in equation (i) we get,

=3b−2(20)=5=3b−40=5=3b=5+40=3b=45=b=15

Hence, the age of Jerry is 15 years old now and age of Jeff is 20 years old now.

Chapter 9.7, Problem 2ST

Chapter 9.7, Problem 4ST

Chapter 9 Solutions

Algebra: Structure And Method, Book 1

Ch. 9.1 - Prob. 1OE Ch. 9.1 - Prob. 2OE Ch. 9.1 - Prob. 3OE Ch. 9.1 - Prob. 4OE Ch. 9.1 - Prob. 5OE Ch. 9.1 - Prob. 6OE Ch. 9.1 - Prob. 7OE Ch. 9.1 - Prob. 8OE Ch. 9.1 - Prob. 9OE Ch. 9.1 - Prob. 1WE

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