lindsey and her father like to attend concerts on saturday afternoons . lindsey is 5 years less than half her fathers age . the sum of their ages is 79 . how old is lindsey

Answer 1

Hi, Aniyah!

Let's use F for the father's age. (You can use any letter you want.)

That means that Lindsey is 5 years less than 1/2 F. Five years less would be - 5 or 1/2 F - 5 for Lindsey.

The sum is what you get when you add their ages together.

So the father's age plus Lindsey's age equals 79.

F + 1/2 F - 5 = 79

To solve this, you first add the Fs 1F + 1/2 F is 3/2 F.

Now, you have 3/2 F - 5 = 79

Add 5 to both sides. 3/2 F = 84

Multiply both sides by 2/3 F = 56 This tells us the father's age is 56.

Lindsey's age is 1/2 F - 5 or 28 - 5 or 23.

To check our answers, we can add 23 + 56 = 79.

I hope this helps!

Best, Karen

Answer 2

L= F/2 - 5

L+F=79

F/2-5 +F =79

3F/2 = 84

F = (2/3)84= 2(28) = 56 years old for the Father

L= 79-56 = 23 years old for Lindsey

L=56/2-5 = 28-5 =23