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Age If you add Natalie's age and Fred's age, the result is 36. If you add Fred's age to 4 times Natalie's age, the result is 72. Write and solve a system of equations to find how old Fred and Natalie are. Fred is years old. Natalie is years old.

Age If you add Natalie's age and Fred's age, the result is 36. If you add Fred's age to 4 times Natalie's age, the result is 72. Write and solve a system of equations to find how old Fred and Natalie are. Fred is years old. Natalie is years old.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question Help 5.4.PS-9 Age If you add Natalie's age and Fred's age, the result is 36. If you add Fred's age to 4 times Natalie's age, the result is 72. Write and solve a system of equations to find how old Fred and Natalie are. Fred is years old. Natalie is years old. Enter your answer in the edit fields and then click Check Answer. Clear All Ch k Answer All parts showing Review progress Question 2 of 5 + Back Next> Sign out
Transcribed Image Text:Question Help 5.4.PS-9 Age If you add Natalie's age and Fred's age, the result is 36. If you add Fred's age to 4 times Natalie's age, the result is 72. Write and solve a system of equations to find how old Fred and Natalie are. Fred is years old. Natalie is years old. Enter your answer in the edit fields and then click Check Answer. Clear All Ch k Answer All parts showing Review progress Question 2 of 5 + Back Next> Sign out
Expert Solution
Step 1

Explanation:

Let Natalie's age = X

And Fred's age = Y

According to the question:

If we add Natalie's age and Fred's age, the result is 36. It means,

X+Y = 36   ...→ equation {1}

If we add Fred's age to 4 times Natalie's age, the result is 72, It means.

(Fred's age) + 4(Natalie's age) = 72

Y+4X = 72   ...→equation {2}

Subtract equation {1}  from equation {2}

(Y+4X) - (X+Y) = 72 - 36

Y + 4X - X - Y = 36

3X = 36

X = 363

X = 12

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