Mathematics

The sum of two numbers is 2. If their difference is 20, find the numbers.

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Let two numbers be x and y.

Given, sum = 2 and difference = 20.

x + y = 2 ……..(i)

x - y = 20 ……..(ii)

Adding (i) and (ii) we get,

⇒ (x + y) + (x - y) = 2 + 20
⇒ 2x = 22
⇒ x = 11.

Substituting value of x in (i) we get,

⇒ 11 + y = 2
⇒ y = 2 - 11 = -9.

Hence, two numbers are 11 and -9.

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