Question

The sum of two integers is 49 and their difference is 9. Find the numbers

Answer 1

Answer:

29 and 20 are such integers.

Step-by-step explanation:

Let one of the two integers = m

let other integer  = n

Now, since sum of two integers = 49

⇒   m + n  = 49  ............  (1)

The difference of two integers = 9

⇒    m - n   = 9  ................ (2)

Solving both the equations:

Add equations (1) and (2) , we get

2 m    = 58

or, m  = 58 / 2  = 29

or, m  = 29

So, one of the integers  =  m   =   29

Now, the other integer  is  n  = 49  - m  = 49 - 29  = 20

or, n =  29

Hence, 20 and 29 are such integers.