Concept explainers
How old are Yanira, Tim, and Hannah.
Answer to Problem 34CR
Explanation of Solution
Given information:
Yanira is 3 years older than Tim and twice as old as Hannah. Tim is 2 years older than Hannah.
CONCEPT USED:
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
In order to find the age of Yanira, Tim, and Hannah,
let the age of Hannah be h ……equation 1.
Given that Yanira is twice as old as Hannah, that is
Yanira’s age is 2h………equation 2.
Tim is 2 years older than Hannah, that is
Tim’s age is h+2……equation 3.
Also, Yarina is 3 years older than Tim, that is
Yarina’s age is h+2+3……equation 4.
Now, equating the age of Yarina from equation 2 and 4
Now solving the equation 1,2 and 3 to get the age of Tim and Hannah
Age of Yarina is
The age of Hannah is h that is
and the age of Tim is
So, the age of Yarina is 10 years , the age of Tim is 7 years, and the age of Hannah is 5 years.
Chapter 1 Solutions
Glencoe Math Accelerated, Student Edition
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