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

caigis72da

caigis72da

Answered question

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

Answer & Explanation

iistiidgllj

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.

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