Question

the difference between two integers is 19 . the sum is 95 , find the integers??


please answer the question please​

Answer 1

Answer:

Integer is 57,and 38.

Step-by-step explanation:

Let the integer is x and y where x>y.

=> x-y=19-----------1

=> x+y=95----------2

Adding both equation,

=> 2x = 114

=> x = 57

And => y = 95-57=38.

Answer 2

The integers are 38 , 57

Given :

• The difference between two integers is 19

• The sum is 95

To find :

The integers

Solution :

Step 1 of 2 :

Form the equation

Let the smaller number = x

Since difference between two integers is 19

Let bigger number = x + 19

Now it is given that the sum is 95

By the given condition

x + x + 19 = 95

Step 2 of 2 :

Find the numbers

$\displaystyle \sf{ x + x + 19 = 95}$

$\displaystyle \sf{ \implies 2x + 19 = 95}$

$\displaystyle \sf{ \implies 2x = 95 - 19}$

$\displaystyle \sf{ \implies 2x = 76}$

$\displaystyle \sf{ \implies x = \frac{76}{2} }$

$\displaystyle \sf{ \implies x = 38}$

So we have,

Smaller number = x = 38

Bigger number = x + 19 = 38 + 19 = 57

Hence the integers are 38 , 57