Q4 of 168 Page 7

The difference of two numbers is 4. If the difference of their reciprocals is , find the two numbers.

Let the first number be ‘X’, so the other number will be ’(X+4)’.




On simplifying further,


X2 + 4X – 21 = 0


On applying Sreedhracharya formula







∴ X = –7 or X = 3.


∴ The numbers are –7 & –3 or 3 & 7.


More from this chapter

All 168 →
2

Two numbers differ by 3 and their product is 504. Find the numbers.

 3

Find two consecutive positive integers, the sum of whose squares is 365.

 5

The sum of two numbers is 18 and the sum of their reciprocals is . Find the numbers.

 6

The sum of the squares of three consecutive positive integers is 50. Find the integers.