# Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 23)

23.

(?) + 3699 + 1985 - 2047 = 31111

Answer: Option

Explanation:

*x* + 3699 + 1985 - 2047 = 31111

*x* + 3699 + 1985 = 31111 + 2047

*x* + 5684 = 33158

*x* = 33158 - 5684 = 27474.

Discussion:

9 comments Page 1 of 1.
Sudha said:
4 years ago

Let us take it as A, A is the number which you want to find.

First of all add 3699 + 1985 = 5684,

Then subtract 2047 from 5684.

Like , 5684 - 2047 = 3637.

Then last step is A + 3637 = 31111.

Therefore, A = 31111 - 3637 (plus became minus sign when comes to right side).

= 27474.

Ans = 27474.

First of all add 3699 + 1985 = 5684,

Then subtract 2047 from 5684.

Like , 5684 - 2047 = 3637.

Then last step is A + 3637 = 31111.

Therefore, A = 31111 - 3637 (plus became minus sign when comes to right side).

= 27474.

Ans = 27474.

(1)

Moumita said:
5 years ago

@Sapna.

It's all about the sum of digit theory.

Like 2+0+4+7=13.

Now, from 13 there are two digit one is 1 and another is 3 .. now plus it (1+3=4).

Algorithm.

If the sum of digit < 9.

Then the value is normally taken.

Else if

Sum of digit >9 then,

Uniquely taken all the digit ( like 13 is taken as 1 and 3 ) and again the sum of them (1+3=4)

As it is less than 9 so take 4.

Else

Sum of digit =9 then,

Value takes as 0 always.

It's all about the sum of digit theory.

Like 2+0+4+7=13.

Now, from 13 there are two digit one is 1 and another is 3 .. now plus it (1+3=4).

Algorithm.

If the sum of digit < 9.

Then the value is normally taken.

Else if

Sum of digit >9 then,

Uniquely taken all the digit ( like 13 is taken as 1 and 3 ) and again the sum of them (1+3=4)

As it is less than 9 so take 4.

Else

Sum of digit =9 then,

Value takes as 0 always.

Sapna said:
5 years ago

@Harshit.

Can you explain, how come 2+0+4+7=4?

Can you explain, how come 2+0+4+7=4?

Harshit Vishnoi said:
5 years ago

@All.

We can solve this by;

x = 31111-1985-3699-2047.

31111=3+1+1+1+1=7,

1985=1+9+8+5=5,

3699=0 (as 9 equivalent to 0),

2047=2+0+4+7=4.

x=7-5-0+4=6,

As,

So, B. 27474.

(2+7+4+7+4=6).

We can solve this by;

x = 31111-1985-3699-2047.

31111=3+1+1+1+1=7,

1985=1+9+8+5=5,

3699=0 (as 9 equivalent to 0),

2047=2+0+4+7=4.

x=7-5-0+4=6,

As,

So, B. 27474.

(2+7+4+7+4=6).

PURVISH said:
6 years ago

Than you @Vikas.

Sneha Kaurav said:
7 years ago

@Vikas.

But there is the other option very close to the correct answer 27574.

But there is the other option very close to the correct answer 27574.

Sukriti said:
8 years ago

You are correct @Vikas.

Vikas said:
8 years ago

Yes there can be a shortcut.

But that will provide an approx answer very quickly.

You can right these figure.

x + 3700 + 2000 - 2000 = 31000.

x = 27300.

i.e Close to 27474.

But that will provide an approx answer very quickly.

You can right these figure.

x + 3700 + 2000 - 2000 = 31000.

x = 27300.

i.e Close to 27474.

(2)

Sana said:
9 years ago

Is there any shortcut method?

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