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SVETLANKA909090 [29]
3 years ago
15

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

Mathematics
2 answers:
exis [7]3 years ago
8 0
From the text of the task we can write the following equation:

\frac{2x}{5}+\frac{x}{3}=22\\
\\
Solving: multiplying \ all \ terms \ by \ 15:\\
\\
6x+5x=330\\
\\
11x=330\\
\\
x=\frac{330}{11}\\
\\
\boxed{x=30}
zubka84 [21]3 years ago
7 0
<u>2/5 x + 1/3 x = 22</u>

First 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.

<u>2/5 Q + 1/3 Q = 22</u>

Multiply each side by 5 :

2Q + 5/3 Q = 110

Multiply each side by 3 :

6Q + 5Q = 330

Add the like terms on the left side:

11Q = 330

Divide each side by 11 :

<u>Q = 30</u> .
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