Three fifths of a number plus one fourth of the number 34

This is simply a word problem that needs to be brought into the form of an equation and then solved. Since there is only one unknown variable in the form of "x" and one equation, so it is possible to find the value of "x".

Let us assume the unknown number to be = x

Then

(3x/5) + (x/4) = 34

(12x + 5x) / 20 = 34

17x/20 = 34

17x = 34 * 20

17x = 680

x = 680/17

= 40

So the unknown number in the question is 40. I hope the procedure is clear to you and in future it will not be a problem for you to solve such questions.