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

Question

asked Nov 25, 2020 213k views

2 Answers

Wachme · Answer 1 · 2020-12-01T07:25:57+0000

Answer:

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.