Ram and Roshini have Rs. 26 altogether. If they both spend Rs. 5 each, the product of the money they now have left is Rs. 60. How much money did they both start with?
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Answer: Either Ram has Rs 11 and Roshini has Rs 15 or Roshini has Rs 11 and Ram has Rs 15.
Step-by-step explanation:
Let the money Ram has be X
Let the money Roshini has be Y
Total money altogether=26
equation 1: X+Y=26
after spending Rs 5 each, the product = 60
equation 2: (X-5).(Y-5)=60
from equation 1:
X=26-Y
from equation 2:
(26-Y-5).(Y-5)=60
= -Y^2-105-26Y=60
quadratic equation:
=Y^2-26Y+165=0
=Y^2-15Y-11Y+165=0
= (Y-15).(Y-11)=0
so Y =11,15
X=11,15
Answer: Either Ram has Rs 11 and Roshini has Rs 15 or Roshini has Rs 11 and Ram has Rs 15.
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