117k views
5 votes
Today is my birthday! Four-fifths of my current age is greater than three-quarters of my age one year from now.

Given that my age is an integer number of years, what is the smallest my age could be?
NEED HELP ASAP

User Zgirod
by
7.8k points

1 Answer

7 votes

Answer:

For a second I thought your birthday was today haha.

Let's begin by creating an equation to reflect the supplied data.

Let x represent my current age.

We are aware of the following:

4/5 x > 3/4 (x + 1)

When both sides are multiplied by 20 (the least common multiple of 5 and 4) the result is:

16x > 15(x + 1)

When the right side is expanded, the following results:

16x > 15x + 15

Subtraction of 15x from both sides results in:

x > 15

My age cannot be less than 16 since it must be an integer number of years.

As a result, the answer is 16.

User Benvd
by
8.8k points