Question

if the sum of two number is 67 there difference is 3 find the two numbers

Answer 1

Answer:

32 and 35.

Step-by-step explanation:

Let the two numbers be x and y.

Such that, x > y.

The sum of two numbers is 67,

x + y = 67 -----> eq 1.

The difference of two numbers is 3,

x - y = 3 ----> eq 2.

Add eq 1 & 2,

x + y = 67

x - y  =  3  

_______

2x + 0 = 70

2x = 70

x = 70 / 2

x = 35

Substitute x = 35 in eq 1,

35 + y = 67

y = 67 - 35

y = 32

The two numbers are 32 and 35.

Answer 2

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Let Number Be x and y

Given:-

according to the QUESTION

• x+y=67
• x-y=3

To Find:-

• The value of x and y

For Information:-

This is a Linear equation in 2 variable

So, We will use Elimination method and Substitution method to find the values

* In the elimination method you either add or subtract the equations to get an equation in one variable.

* In the substitution method you solve for one variable, and then substitute that expression into the other equation.

Solution:-

$x + y = 67....(1)$

$x - y = 3....(2)$

Adding equation 1 and 2

we get

$x + y = 67 \\ x - y = 3 \\ \: \: + \: \: \: \: + \: \: \: \: +$

$= > 2x = 70$

$= > x = \frac{70}{2}$

$= > x = 35$

Now We will substitute the value of x in equation (1)

$= > 35 + y = 67$

$= > y = 67 - 35$

$= > y = 32$

The Two Numbers are 32 and 35