An aeroplane has 250 Passengers on board comprising of men, women and children. There are 35 more men than women and 20 more adults (men and women than children. How many men are there on the plane?
Answers
If there are 250 passengers on board then there are a total of 85 men on the plane.
Step-by-step explanation:
Let the no. of men, women and children be “M”, “W” & “C” respectively.
The aeroplane has 250 passengers on board comprising of men, women and children.
So, we can write
M + W + C = 250 ……. (i)
Also given,
35 more men than women
i.e., M = 35 + W
⇒ M – W = 35 …… (ii)
and
20 more men and women than children
i.e., M + W = 20 + C
⇒ M + W – C = 20 ……. (iii)
Now, adding eq. (i) & (iii), we get
M + W + C = 250
M + W – C = 20
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2 (M + W) = 270
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∴ M + W = 135 …… (iv)
Adding (ii) & (iv), we get
M – W = 35
M + W = 135
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2 M = 170
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∴ M = 170/2 = 85
Thus, there are 85 men on the aeroplane.
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