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There are 52 beggars outside a temple. Three hundred twelve apples are distributed among them so that each man gets nine apples and each woman gets five apples.
Find the number of men and women outside the temple.
  • a)
    13, 39
  • b)
    39, 13
  • c)
    14, 38
  • d)
    31, 21
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
There are 52 beggars outside a temple. Three hundred twelve apples are...
Solution:
Let the number of men be 'm' and the number of women be 'w'.

According to the given condition, the total number of beggars is 52. Therefore,

m + w = 52

Also, the total number of apples distributed is 312. Therefore,

9m + 5w = 312

We have two equations and two variables. We can solve for 'm' and 'w' using any method such as substitution or elimination. Here, we will use substitution.

From the first equation, we can write:

m = 52 - w

Substituting this in the second equation, we get:

9(52 - w) + 5w = 312

468 - 9w + 5w = 312

-4w = -156

w = 39

Substituting this value of 'w' in the first equation, we get:

m + 39 = 52

m = 13

Therefore, the number of men and women outside the temple are 13 and 39 respectively.

Hence, option A is the correct answer.
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Community Answer
There are 52 beggars outside a temple. Three hundred twelve apples are...
Let the number of men beggars be x and women beggars are y. x + y = 52 ........ (i)
9x + 5y = 312 .......... (ii)
Solving (i) and (ii) we get
9y – 5y = 468 – 312
4y = 156
∴ x = 52 – 39 = 13
y = 39
Thus, Men = 13 and Women = 39 
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There are 52 beggars outside a temple. Three hundred twelve apples are distributed among them so that each man gets nine apples and each woman gets five apples.Find the number of men and women outside the temple.a)13, 39b)39, 13c)14, 38d)31, 21Correct answer is option 'A'. Can you explain this answer?
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