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# What is (20 - (2010 - 201)) + (2010 - (201 - 20)) ?

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Math Expert
Joined: 02 Sep 2009
Posts: 58428
What is (20 - (2010 - 201)) + (2010 - (201 - 20)) ?  [#permalink]

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29 Mar 2019, 01:41
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:21) correct 32% (01:15) wrong based on 34 sessions

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What is $$(20 - (2010 - 201)) + (2010 - (201 - 20))$$ ?

(A) -4020
(B) 0
(C) 40
(D) 401
(E) 4020

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Re: What is (20 - (2010 - 201)) + (2010 - (201 - 20)) ?  [#permalink]

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29 Mar 2019, 02:55
By "opening" the parentheses , we quickly notice that all numbers except the two 20s are cancelled out. So answer is C = 40.
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Re: What is (20 - (2010 - 201)) + (2010 - (201 - 20)) ?  [#permalink]

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29 Mar 2019, 02:57

Solution

To find:
• The value of the given expression (20 − (2010 − 201)) + (2010 − (201 − 20))

Approach and Working:
We can simplify the given expression in the following manner:
• (20 − (2010 − 201)) + (2010 − (201 − 20))
= (20 – 1809) + (2010 – 181)
= -1789 + 1829
= 40

Hence, the correct answer is option C.

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Re: What is (20 - (2010 - 201)) + (2010 - (201 - 20)) ?  [#permalink]

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29 Mar 2019, 03:00

Alternate Solution

To find:
• The value of the given expression (20−(2010−201)) + (2010−(201−20))

Approach and Working:
We can simplify the given expression in the following manner:
• (20 − (2010 − 201)) + (2010 − (201 − 20))
= 20 – 2010 + 201 + 2010 – 201 + 20
= 20 + 20 – 2010 + 2010 + 201 – 201
= 20 + 20 = 40

Hence, the correct answer is option C.

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Re: What is (20 - (2010 - 201)) + (2010 - (201 - 20)) ?  [#permalink]

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29 Mar 2019, 03:36
Bunuel wrote:
What is $$(20 - (2010 - 201)) + (2010 - (201 - 20))$$ ?

(A) -4020
(B) 0
(C) 40
(D) 401
(E) 4020

$$(20 - (2010 - 201)) + (2010 - (201 - 20))$$ ==> $$20-2010+201+2010-201+20$$ = 40

Hence C
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Re: What is (20 - (2010 - 201)) + (2010 - (201 - 20)) ?  [#permalink]

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29 Mar 2019, 04:01
The expression

20 - 2010 + 201 + 2010 - 201 + 20
= 40

C
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Re: What is (20 - (2010 - 201)) + (2010 - (201 - 20)) ?  [#permalink]

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29 Mar 2019, 08:54
Bunuel wrote:
What is $$(20 - (2010 - 201)) + (2010 - (201 - 20))$$ ?

(A) -4020
(B) 0
(C) 40
(D) 401
(E) 4020

open the expression
we get
20-2010+201+2010-201+20
IMO C ; 40
Re: What is (20 - (2010 - 201)) + (2010 - (201 - 20)) ?   [#permalink] 29 Mar 2019, 08:54
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