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

Question

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

Mitchel Aguirre · Accepted Answer

Let x - the first number, y - the second number.The second number is 2 more than 3 times the first number:y=2+3xIf the sum of the two numbers is 22, so we have:x+y=22Replace y by&amp;nbsp;2+3x:x+(2+3x)=222+4x=224x=20x=5First number is&amp;nbsp;x=5y=2+3x=2+3(5)=2+15=17So we have answer 5 and 17

RizerMix · Accepted Answer

We can solve this problem using algebra. Let&#039;s use x to represent one of the numbers, and y to represent the other number.From the first sentence of the problem, we can write an equation:x=3y+2From the second sentence of the problem, we know that the sum of the two numbers is 22. We can write another equation:x+y=22Now we have two equations with two variables. We can use algebra to solve for x and y. Let&#039;s use the first equation to solve for x in terms of y:x=3y+2We can substitute this expression for x into the second equation:3y+2+y=22Simplifying this equation:4y+2=22Subtracting 2 from both sides:4y=20Dividing both sides by 4:y=5Now we know that one of the numbers is 5. We can use the first equation to find the other number:x=3y+2=3(5)+2=17Therefore, the two numbers are 5 and 17.

Jeffrey Jordon · Accepted Answer

Let&#039;s start with the equation:x=3y+2We can rewrite this equation as:y=x−23Now we can substitute this expression for y into the second equation:x+x−23=22Multiplying both sides by 3 to eliminate the fraction:3x+x−2=66Combining like terms:4x=68Dividing both sides by 4:x=17Now that we know x, we can use the equation y=x−23 to find y:y=17−23=5Therefore, the two numbers are 5 and 17.

Vasquez · Accepted Answer

Answer:5&amp;nbsp;and&amp;nbsp;7Explanation:Let&#039;s call the first number x and the second number y. We know that one number is 2 more than 3 times another number, so we can write:x=3y+2We also know that the sum of the two numbers is 22, so we can write:x+y=22Now we can substitute the first equation into the second equation to get:(3y+2)+y=22Simplifying the equation, we get:4y+2=22Subtracting 2 from both sides:4y=20Dividing both sides by 4:y=5Now that we know the value of y, we can substitute it back into the first equation to find x:x=3y+2=3(5)+2=17Therefore, the two numbers are 5&amp;nbsp;and&amp;nbsp;7.

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

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