caigis72da

2023-03-31

One number is 2 more than 3 times another. Their sum is 22. Find the numbers

8, 14

5, 17

2, 20

4, 18

10, 12

8, 14

5, 17

2, 20

4, 18

10, 12

iistiidgllj

Beginner2023-04-01Added 6 answers

Let's denote the first number as $x$ and the second number as $y$.

According to the given information, we can set up two equations:

1. One number is 2 more than 3 times another:

This can be written as $x=3y+2$.

2. Their sum is 22:

This can be written as $x+y=22$.

Now, we can solve these equations simultaneously to find the values of $x$ and $y$.

Substituting the value of $x$ from the first equation into the second equation, we have:

$(3y+2)+y=22$

Simplifying the equation, we get:

$4y+2=22$

Subtracting 2 from both sides, we have:

$4y=20$

Dividing both sides by 4, we find:

$y=5$

Now, we can substitute this value of $y$ into the first equation to find the value of $x$:

$x=3(5)+2$

$x=15+2$

$x=17$

Therefore, the two numbers are $x=17$ and $y=5$.

According to the given information, we can set up two equations:

1. One number is 2 more than 3 times another:

This can be written as $x=3y+2$.

2. Their sum is 22:

This can be written as $x+y=22$.

Now, we can solve these equations simultaneously to find the values of $x$ and $y$.

Substituting the value of $x$ from the first equation into the second equation, we have:

$(3y+2)+y=22$

Simplifying the equation, we get:

$4y+2=22$

Subtracting 2 from both sides, we have:

$4y=20$

Dividing both sides by 4, we find:

$y=5$

Now, we can substitute this value of $y$ into the first equation to find the value of $x$:

$x=3(5)+2$

$x=15+2$

$x=17$

Therefore, the two numbers are $x=17$ and $y=5$.

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