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Mathematics

The sum of two natural numbers is 25 and their difference is 7. The numbers are

  1. 17 and 8

  2. 16 and 9

  3. 18 and 7

  4. 15 and 10

Linear Equations

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Answer

Let the two numbers be x and y.

Given, sum = 25.

x + y = 25 ……..(i)

Given, difference = 7.

x - y = 7 …….(ii)

Adding (i) and (ii) we get,

⇒ (x + y) + (x - y) = 25 + 7

⇒ 2x = 32

⇒ x = 16.

Substituting value of x in (i) we get,

⇒ 16 + y = 25

⇒ y = 9.

Hence, Option 2 is the correct option.

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