Help MATH URGENT

Question

Juanita is 13 years older than her cousin. The sun of their ages is no less than 103 years old. What is the youngest age Juanita's cousin can be

 

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|______| Years

Answer 1

Hi Markitta;

 

First choose variables to represent the unknowns:

Let j = Juanita's age

Let c = cousin's age

 

j = c + 13

j + c ≥ 103

 

c + 13 + c ≥ 103

2c + 13 ≥ 103

2c ≥ 90

c ≥ 45

 

Her cousin is at least 45 years old

 

 

Answer 2

J = 13 + C

J + C > 103

 

Plus in J to the second equation

13 + C + C > 103

13 + 2C > 103

2C > 90

C > 45

 

The youngest age Juanita's cousin can be is 45

 

Check your answer:

If Juanita's cousin is 45, then Juanita is 58. 45 + 58 = 103