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

Let one of the number be X

As per the given data the another number is 2 more than 3 times

the another,

So the equation for another number be :- 2+ 3 X :- eq(1)

The sum of these two numbers is given as 22

In order to find out the numbers we can write the equations

as

(2+3 X) + X = 22:- eq(2)

Step by step the equation can be solved as shown below

3X + X = 22-2

4X = 20

X = 20/4

From the above result we get one of the number as 5 ,i.e X=5

substituting the value of x in eq(1) we get the another

number

2+3*5=17

So the two numbers are 5 & 17

17+5=22