Question

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?

Answer 1

Answer: His smallest age could be 16 years.

Explanation:

Since we have given that

Four-fifths of his current age is greater than three-quarters of his age one year from now.

Let his present age be x

So, According to question,

Take the equality,

So,

Hence, Nearest and smallest integer greater than 15 is 16 .

Therefore, His smallest age could be 16 years.

Answer 2

Answer: His smallest age could be 16 years.

Explanation:

Since we have given that

Four-fifths of his current age is greater than three-quarters of his age one year from now.

Let his present age be x

So, According to question,

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

Take the equality,

`(4)/(5)x=(3)/(4)(x+1)\\\\(4)/(5)x=(3)/(4)x+(3)/(4)\\\\(4)/(5)x-(3)/(4)x=(3)/(4)\\\\(16x-15x)/(20)=(3)/(4)\\\\(x)/(20)=(3)/(4)\\\\x=(3* 20)/(4)\\\\x=15`

So,
`x>15`

Hence, Nearest and smallest integer greater than 15 is 16 .

Therefore, His smallest age could be 16 years.