Question

a fort has provisions for 60 days. if after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort?

Answer 1

I think so this is the correct answer

Answer 2

let the number of men in the fort in the beginning be ' x '.

so the fort has 60 days provisions for x men.

after 15 days:
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provisions left for = 60 - 15 = 45 days

it means , after 15 days there are provisions of 45 days for x men.

but 500 men strengthen them and provisions

left for only 40 days.

so , after the addition of 500 men , now there are ( x + 500) men and have provisions of 40 days for them .

equation formed:
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so according to question,

45 × x = 40 × ( x + 500 )

45x = 40x + 20000

45x - 40x = 20000

5x = 20000 => x = 4000 men

Answer: there are 4000 men in the fort.

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