# Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 23)
23.
(?) + 3699 + 1985 - 2047 = 31111
34748
27474
30154
27574
None of these
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.
(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.

Sapna said:   5 years ago
@Harshit.

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).

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.

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.
(2)

Sana said:   9 years ago
Is there any shortcut method?