Question

4. The sum of two numbers is 137 and their difference is 43. Find the
numbers.



solve fast I'll mark as brillent ​

Answer 1

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Answer 2

Given :-

• The sum of two numbers is 137.

• The difference of two numbers is 43.

To find :-

• The required number = ?

Solution :-

Let the first number be x

and second number be y

Now,

According to the question,

• x + y = 137 .....................(i)

• x - y = 43 ......................(ii)

Then,

Adding eq (i) and eq (ii),

(x + y) + (x - y) = 137 + 43

⤇ x + x + y - y = 180

⤇ 2x = 180

⤇ x = $\rm\cancel\dfrac{180}{2}$

⤇ x = 90

Putting the value of x in eq (i),

x + y = 137

⤇ 90 + y = 137

⤇ y = 137 - 90

⤇ y = 47

Hence,the required number will be 90 and 47.

More Information :-

Related to linear equation in two variables,

⤇ An equation of the from ax + by + c = 0 where a,b,c are real numbers a ≠ 0 ,b ≠ 0 is called a linear equation in two variables x and y.