Question

The sum and difference of two numbers are 22 and 2 respectively.find the number

Answer 1

Answer :

12 and 10

Step-by-step explanation :

Let the numbers be x and y respectively.

Given that ;

x + y = 22.  …… (1)

x - y = 2      ……(2)

Now,

x + y = 22

⇒ x = 22 - y    …… (3)

Putting the value of x in (2)

x - y = 2

⇒ 22 - y - y = 2

⇒ 22 - 2y = 2

⇒ 2y = 22 - 2

⇒ 2y = 20

⇒ y = 20 / 2

⇒ y = 10

Now,

Putting the value of y in eqⁿ (1)

⇒ x + y = 22

⇒ x + 10 = 22

⇒ x = 22 - 10

⇒ x = 12

Hence,

The required numbers are 12 and 10 respectively.

Answer 2

Answer:

12,10

Step-by-step explanation:

• Sum of numbers 12 and 10 is 22
• Difference is 2
• You can also approach it in such a manner that 11 + 11 = 22
• Then you need to add and subtract 1 from each 11    { (11 + 1) + (11 - 1) = 12+10 = 22