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"How old are you, Alchemerion?" asked one of the wizards appearances the wizards answer with a riddle, "I am still Very young as wizards go.I am only three times my son's age. My father is 40 year more than twice of my age. Together the three of us are a 1240 year old". How old is Alchemerion
Read Solution (Total 12)
-
- x+3x+(6x+40)=1240
=>x=120.............so age of Alchemerion is 120*3=360................
- 10 years agoHelpfull: Yes(50) No(0)
- let Alchemerion be A
let son be S
let father be F
A= 3* S
F= 40 +(2*A)
therefore 1240=(S+F+A)
1240=(A/3)+ (40+(2*A) )+ A
A=360 - 10 years agoHelpfull: Yes(11) No(0)
- 360
let son age x... then
x+3x+(2*3x)+40=1240
x=120
- 10 years agoHelpfull: Yes(6) No(0)
- sry bymistake i wrote 300,the ans is 360
- 10 years agoHelpfull: Yes(3) No(1)
- ha just lokk at the question you have 3 persons
father,alchmrn,son
lets father=f; son=s;alchermerion=a
f=40+2a;
a=3s
a+s+f=1240
3s+s+40+2(3s)
4s+40+6s=1240
10s+40=1240
10s=1200
s=120
a=360. - 10 years agoHelpfull: Yes(3) No(0)
- Let the age of alchemerion son be x. so his age is 3x.
his father's age 40+2(3x)=40+6x
x+3x+40+6x=1240
x=120
therefore 3*120=360 is ans - 10 years agoHelpfull: Yes(2) No(0)
- x+3x+6x+40=1240
x=120
120*3=360 - 10 years agoHelpfull: Yes(2) No(0)
- sons age : x
alchemerion age : 3x
alchemerian father age :40+6x
x+3x+40+6x=1240
10x=1200
x=120
therefore ans is 3x=3*100 = 300 - 10 years agoHelpfull: Yes(1) No(3)
- let alchemerion's age be x,his son's be y and his father's be y
given that,x=3y
z=40+2x
x+y+z=1240
x+x/3+40+2x=1240
10x=1240-120
x=112
- 10 years agoHelpfull: Yes(0) No(4)
- sons + father's + father father's
(F/3)+(F)+(2F+40)=1240
F=40 - 10 years agoHelpfull: Yes(0) No(4)
- if we assume some X is alchemerion age
his son age = X/3
his father age = 2X+40
so finally, X+X/3+2X+40 = 1240
3X+x+6x+120 = 1240
10X=1120
X = 1120/10
Hence X = 112 = alchemerion's age - 6 years agoHelpfull: Yes(0) No(2)
- given that age of father is 40 more than twice of alchemerions age i.e 40+2F
F=2S
=> 40+2F+3S+S=1240
=> 40+2(3S)+4S=1240
=> 10S=1240
=> S=120
now the age is 120*3=360. - 6 years agoHelpfull: Yes(0) No(0)
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