If 2/5 of a number is added to 1/3 of the same number ,the sum is 22. What is the number?

2/5 x + 1/3 x = 22First of all, I've been answering so many of these things lately that I'm getting really tired of 'x'.  Let's call the unknown number ' Q ' instead.2/5 Q + 1/3 Q = 22Multiply each side by 5 :2Q + 5/3 Q = 110Multiply each side by 3 :6Q + 5Q = 330Add the like terms on the left side:11Q = 330Divide each side by 11 :Q = 30 .

From the text of the task we can write the following equation:[tex]\frac{2x}{5}+\frac{x}{3}=22\\
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Solving: multiplying \ all \ terms \ by \ 15:\\
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6x+5x=330\\
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11x=330\\
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x=\frac{330}{11}\\
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\boxed{x=30}[/tex]