Question

Rohit says to ajay give me a hundred i shall then become twice as rich as you ajay replies if you give me ten i shall be six times as rich as you how much does each have originally

Answer 1

Suppose Rohit and Ajay were having Rs x and ywith them.
 as per condition  given in the question, we obtain
x + 100 = 2(y − 100)
x + 100 = 2y − 200
x − 2y = −300 (i)
and  6(x − 10) = (y + 10)
6x − 60 = y + 10
6x − y = 70 (ii)
Multiplying equation (ii) by 2, we obtain
12x − 2y = 140 (iii)
Subtracting equation (i) from equation (iii), we obtain
11x = 140 + 300
11x = 440
x = 40
Using this in equation (i), we obtain
40 − 2y = −300
40 + 300 = 2y
2y = 340
y = 170
Therefore, they had Rs 40 and Rs 170 with them respectively.