Q10 of 71 Page 68

The sum of two numbers is 10 and the difference of them is 2. Then the greater number of these two is

Let the two numbers be x and y.


According to the question,


x + y = 10 ..(i)


x – y = 2 ..(ii)


Adding (i) and (ii),


x + y + x –y = 10 + 2


⇒ 2x = 12


⇒ x = 6


Putting x = 6 in (i),


6 + y = 10


⇒ y = 4


Then the greater number is 6.

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