Question

Select the correct answer.

Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago. If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have?

Answer 1

it would be 5+x, 5 being the age difference

Answer 2

The equation is, x = x + 5,

And, the equation has no solution.

Explanation:

Here, x represents Jenna's age in years,

Given,

Jessica is 5 years older than her sister Jenna,

⇒ The age of Jessica = ( x + 5 ) years,

Now, the age of jenna after 5 years = x + 5,

And, the age of Jessica in 5 year ago = (x+5) - 5 = x

According to the question,

x = x + 5

Which is the required equation that represents the situation

0 = 5 ( False )

Thus, the equation has no solution.