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Maths Puzzle
Average age of 8 person in a committee is increased by 2 years when two men aged 35 years and 45 years are substituted by two women. What is the average age of these two women ?
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- when two wommen were added average age of 8 member increased by 2 years i.e they added 2 years to each member age so total age added 2*8=16
now two men who left teir total age are 35+45=80
so age of women who replaced them must be 80+16=96
so average age of joining women =96/2=48 - 12 years agoHelpfull: Yes(4) No(1)
- Average age of those two women = 48years
Let the average age of 8 person = x
So, the age of 8 person = 8x
Then, after excluding two men = 8x-35-45
Let age of two women = 2y
8x-35-45 =8(x-2)-2y
Simplifies, we get
y = 48 - 12 years agoHelpfull: Yes(1) No(0)
- We can solve it directly by applying this equation
let the combined ages of the two women= y
let the age of the remaining 6 person =x
so According to the Question
(x+y)-(x+35+45)/8 = 2.
Solving we will gey y=96.
so average will be 96/2= 48 (Ans)
- 12 years agoHelpfull: Yes(1) No(0)
- Answer 48
let x be average age of 8 persons, y be the average age of two women,then
8x-80+2y=8x+16
2y=96
y=48 - 12 years agoHelpfull: Yes(1) No(0)
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