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 }