Math, asked by bharatyoungrealm, 10 months ago

There will be four friends. they will get bananas from garden. The garden is far from home.
The darkness is coming down.
Okay, let's share those bananas the next day
In whose room they lie.
M
1. One gets up a while and I take my part now
Feels like four parts of banana fruit.
One is surplus. Throw it out for the monkey,
He takes his part.
2, The second one got up and and made 4 parts .one is surplus he will throw it to monkey and take his part and leave
3. The third one got up and left four more
If the parts are done again one is left. Monkey it out
He takes his part.
4, the fourth one rises and repeats the rest
If you make four parts, one is left. It
He throwsto the monkey and takes his part.
Early in the morning.
Everyone will come. All four of them are Silent
remaining are shared by 4 of them equally and no banana is surplus now.
please find how many bananas they brought from garden.

please give the steps how to solve it.

Answers

Answered by poojan

Let the number of bananas were brought by them from Narendra's garden be 'X'

From 'X', total number of bananas the first one took = (X -1)/4

We need to eliminate the banana he threw away.

Bananas remained are = X - ((X -1)/4 ) - 1

= ( 4X - X + 1 - 4) / 4

= 3(X - 1) / 4

Similarly, the no.of second one had took with him = (3/16)(3X - 7)

the third one = (3/64) (9X - 37)

the fourth one = (3/256)(27X - 175)

Then, on talking 4 equal parts from the bananas left on the next morning, the share happened exactly. As in :

(3/256)(27X - 175) = 4n

81X - 525 = 1024n

81X = 1024n + 525 ----------------- (1)

Here, n is the integer which we need to find.

(81 * 12n + 13 * 4n + 81 * 6 + 13 * 3)/81

As per this statement, (4n+3)/81 is an integer. On solving,

4n + 3 = 81c ; where c is a constant.

4n = 3 ( 27c -1 )

Let us check, on substituting which integer in c, the total value becomes a multiple of 4.

c = 0; 3(27(0)-1) = -3 (Incorrect)

c = 1; 3(27(1)-1) = 3(26) (Incorrect)

c = 2; 3(27(2)-1) = 3(53) (Incorrect)

c = 3; 3(27(3)-1) = 3(80) (Suits!) As 80 is a mutiple of 4.

So, at c=3, we get

4n = 3(80)

n = 3(20)

n = 60

As n=60, substitute this value in eqn (1), As in :

81X = 1024 * 60 + 525

81X = 61440+ 525

X = 61965 / 81

X = 765

Learn more :

1. I am a 7 letter word. I like mornings. If you remove my 1st letter you can drink me. If you remove my 1st & 2nd letters, you may not like me...

brainly.in/question/16454444

2. Scratch my head, see me turn from black to red. What am I?

brainly.in/question/3297864

Previous Question

Next Question