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

Four-fifths of my current age is also greater than five-sixths of my age one year ago.

Given that my age is an integer, what are **all** possible values for my age? Explain how you determined your answer, showing all steps along the way.

AWESOMEEE
May 11, 2015

#1**+15 **

Let your current age be A .....so your age one year from now is A + 1 and one year ago was A- 1 ....and we have

For the first part, we have

(4/5)(A) > (3/4)(A + 1) multiply through by the common denominator of 4 and 5, i.e., 20

16A > 15(A + 1) simplify

16A > 15A + 15 subtract 15A from both sides

A > 15

And for the second part, we have

(4/5)A > (5/6)(A - 1) multiply through by the common denominator of 5 and 6, i.e., 30

24A > 25(A - 1) simplify

24A > 25A - 25 add 25 to both sides and subtract 24A from both sides

25 > A or, expressed another way.....

A < 25

So.....using both solutions, we have

15 < A < 25 {your possible age is greater than 15 but less than 25 }

CPhill
May 11, 2015

#1**+15 **

Best Answer

Let your current age be A .....so your age one year from now is A + 1 and one year ago was A- 1 ....and we have

For the first part, we have

(4/5)(A) > (3/4)(A + 1) multiply through by the common denominator of 4 and 5, i.e., 20

16A > 15(A + 1) simplify

16A > 15A + 15 subtract 15A from both sides

A > 15

And for the second part, we have

(4/5)A > (5/6)(A - 1) multiply through by the common denominator of 5 and 6, i.e., 30

24A > 25(A - 1) simplify

24A > 25A - 25 add 25 to both sides and subtract 24A from both sides

25 > A or, expressed another way.....

A < 25

So.....using both solutions, we have

15 < A < 25 {your possible age is greater than 15 but less than 25 }

CPhill
May 11, 2015