Question

The sum of two numbers is 1 and their
difference is 5. Find the numbers.​

Answer 1

Let the two numbers be x and y

x + y = 1 --- (i)

x - y = 5 --- (ii)

Solving (i) and (ii)

x + y = 1

x - y = 5

- + -

_________

2y = - 4

y = -4/2

y = - 2

Substitute y = -2 in (i)

x + y = 1

x - 2 = 1

x = 1 + 2

x = 3

So, the two numbers are x = 3 and y = -2

Answer 2

Answer :

• The numbers are 3 and - 2

Given :

• The sum of two number is 1
• Their difference is 5

To find :

• The numbers

Solution :

• Let the two numbers be x and y

The sum of two numbers is 1 and their difference is 5 so,

• x + y = 1
• x - y = 5

➨ x + y = 1 .... equation (1)

➨ x - y = 5 .... equation (2)

Finding the numbers :

Now, Adding the equation (1) and equation (2) we get,

• x + y = 1 + x - y = 5

➨ x + y = 1 + x - y = 5

➨ 2x = 6

➨ x = 6/2

➨ x = 3

Now, Substituting the value of x = 3 in equation (1) we get,

➨ x + y = 1

➨ 3 + y = 1

➨ y = 1 - 3

➨ y = -2

• x = 3

• y = -2

Hence , The numbers are 3 and - 2.

Verification :

➨ x + y = 1

➨ 3 + (-2) = 1

➨ 1 = 1

Hence , Verified.