The difference of two numbers is 5and the difference of their recipoca

1.	The difference of two numbers is 5and the difference of their recipocal is 1/10. Find thenumbers
Answer» Let numbers are x and (x + 5).Ass pe given condition 1/x - 1/(x + 5x) = 1/10(x + 5 - x) / x(x +5) = 1/105*10= x^2 + 5xx^2 + 10x - 5x - 50 = 0x(x +10) - 5(x + 10) = 0(x + 10)(x - 5) = 0x = - 10, 5 Numbers are :if first number = 5 then second number = 10If first number= - 10 then second number= - 5

The difference of two numbers is 5and the difference of their recipocal is 1/10. Find thenumbers

Answer»

Let numbers are x and (x + 5).Ass pe given condition

1/x - 1/(x + 5x) = 1/10(x + 5 - x) / x(x +5) = 1/105*10= x^2 + 5xx^2 + 10x - 5x - 50 = 0x(x +10) - 5(x + 10) = 0(x + 10)(x - 5) = 0x = - 10, 5

Numbers are :if first number = 5 then second number = 10If first number= - 10 then second number= - 5