The sum of two integers is 8. The two integers are 1 and 7
<u>Solution:</u>
We have been given the relation between two numbers as follows:
The sum of two integers is 8 and their difference is 6.
We have been asked to find out what the two integers are.
So, let as assume one of the numbers to be ‘x’ and the other one to be ‘y’.
Now, let us form equations from the given information.
The equations we get are
x + y = 8 --eq1
x - y = 6 --eq2
we can rewrite eq2 as follows:
x = 6 + y --eq 3
so, now we substitute eq 3 in eq 1 to find the value of ‘y’.
6 + y + y = 8
2y = 8 - 6
2y = 2
y = 1.
Therefore, the value of y = 1
Now let us substitute the value of ‘y’ in eq1 to find the value of ‘x’.
x + 1 = 8
x = 8-1 =7
Therefore, the value of x=7.
Hence, the two integers are 1 and 7.
