Q2 of 157 Page 38

Frame and solve the equations for the following statements:

The sum of the two numbers is 21 and their difference is 3. Find the numbers. (Hint: Let the bigger number be x and smaller number be x – 3)

Let the bigger number be x


Then the smaller number = x – 3 [∵ the difference is 3]


Then according to the question,


x + (x – 3) = 21


⇒ 2x – 3 = 21


⇒ 2x = 21 + 3



⇒ x = 12


⇒ x – 3 = 12 – 3 = 9


Hence, the numbers are 12 and 9.


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