A wizard named Nepo says “I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old.” How old is Nepo?

2 Answers on this Question

1. answer 360 years

   n=3*s
   f=40+2n
   n+s+f=1240
   so, n+s+40+2n=1240
   put the value of n
   3s+s+40+2(3s)=1240
   10s+40=1240
   10s=1240-40
   10s=1200
   s=120
   now put the value of s
   n=3s
   n=3*120
   n=360

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2. 360 years old
   Nepo’s son age = x
   Nepo’s age = 3x
   Nepo’s father age = 2*3x + 40

   x + 3x + 6x + 40 = 1240
   10x = 1200
   x = 120

   Nepos age = 3* 120 = 360 years

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