The campers asked their counselor to tell them her age. She replied, “If you add four years to my present age, the result will be two times my camper’s. Five years ago my age was 3/4 of what hers will be in eight years.” How old is the counselor?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Ratio and proportion

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

Add four years to my present age, the result will be two times my camper’s.

Five years ago my age was 3/4 of what hers will be in eight years.

To find

The present age of counselor.

How to find the present age of counselors?

Add four years to my present age, the result will be two times my camper’s. then,

y +4 = 2x .....1

Five years ago my age was 3/4 of what hers will be in eight years.

[tex]\rm y - 5 = \dfrac{3}{4} (x + 8)[/tex] .....2

From equation 1 and 2

[tex]\begin{aligned} \rm 2x - 4 - 5 &= \dfrac{3}{4} (x + 8)\\8x - 36 &= 3x +24\\5x &= 60\\x &= 12 \end{aligned}[/tex]

Put the value of x in equation 2, then

y + 4 = 2x

y + 4 = 2 *12

y = 24 - 4

y = 20

Thus the counselor's age is 20 years.

More about the linear system link is given below.

https://brainly.com/question/20379472