Three fifths Of a number plus One fourth Of a number Is 34. Find The number.

x - the number[tex]\frac{3}{5}x + \frac{1}{4}x=34 \\
\frac{12}{20}x+\frac{5}{20}x=34 \\
\frac{17}{20}x=34 \\
x=34 \times \frac{20}{17} \\
x=2 \times 20 \\
x=40[/tex]The number is 40.