The average age of 8 persons in a committee is increased by 2 years when two men ages 35 years and 45 years are substitute by two women find the average of those two women
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The average age of 8 persons in a committee is increased by 2 years when two men ages 35 years and 45 years are substitute by two women find the average of those two women
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Let the average age of 8 persons be x years
Then total age of 8 persons =8x
Also let y
1
and y
2
be the ages of the two women who replaced the two men
Then
8
8x−35−45+(y
1
+y
2
)
=x+2
⇒8x−80+y
1
+y
2
=8x+16
⇒y
1
+y
2
=96
Therefore, average age of the two women =
2
y
1
+y
2
=
2
96
=48 years
Step-by-step explanation:
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