Question

The sum of two integers is 60 and their difference is 4. Find the integers

Answer 1

28 and 32

Explanation:

28 plus 32 equals 60 and 32 minus 28 equals 4.

Answer 2

The integers are 32 and 28 .

Solution:

Let the two integers be x and y.

It is given that sum of two integers is 60. Writing it in equation form we get,

`x + y = 60` ……………..(Let this be equation 1)

Again it is given that, the difference between the two integers is 4. Writing it in equation form we get,

`x-y=4`………………….(let this be equation 2)

Adding Equation 1 and equation 2 we get,

`x+y+x-y=60+4`

`\Rightarrow 2 x=64`

`\Rightarrow \mathrm{x}=(64)/(2)`

`\Rightarrow x=32`

Substituting the value of x = 32 in equation 2 we get

`32-y=4`

`\Rightarrow 32-4=y`

`\Rightarrow 28=\mathrm{y}`

Therefore, the two integers are 32 and 28.