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

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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.
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