A total number of bananas with three friends Moti, Sumit and Manky tog

1.	A total number of bananas with three friends Moti, Sumit and Manky together is 10. If the sum of reciprocals of the number of bananas with the three friends is 1, what is absolute difference between the number of bananas with Moti and Sumit?1). 22). 33). 04). Either (1) or (3)
Answer» Let the number of bananas with Moti, Sumit and Manky is a, b and c respectively ⇒ a + b + c = 10----(1) ⇒ (1/a) + (1/b) + (1/c) = 1----(2) The only possible set of values of a, b and c that satisfy both the equations is 4, 2 and 4 not necessarily in that PARTICULAR order ⇒ The absolute difference between a and b could be either 0 or 2 ∴ Exact value cannot be determined

A total number of bananas with three friends Moti, Sumit and Manky together is 10. If the sum of reciprocals of the number of bananas with the three friends is 1, what is absolute difference between the number of bananas with Moti and Sumit?1). 22). 33). 04). Either (1) or (3)

Answer»

Let the number of bananas with Moti, Sumit and Manky is a, b and c respectively

⇒ a + b + c = 10----(1)

⇒ (1/a) + (1/b) + (1/c) = 1----(2)

The only possible set of values of a, b and c that satisfy both the equations is 4, 2 and 4 not necessarily in that PARTICULAR order

⇒ The absolute difference between a and b could be either 0 or 2

∴ Exact value cannot be determined