Question

the difference of two numbers is 7 and their sum is 53 find the number​

Answer 1

Here two conditions are given: difference of two numbers is 7 and their sum is 53

We have to find the numbers.

Let the numbers be x and y

Then according to the condition

x + y = 53 ------ (1)

x - y = 7 --------- (2)

We will first find the value of x by elimination method, (1) + (2)

x + y + x - y = 53 + 7

             2x = 60

                x = 30

Now, we will put the value in (1)

x + y = 53

30 + y= 53

       y = 53 - 30

        y = 23

Hence, the numbers are 30 and 23.