Question

148 - [ 85 ÷ 17x2+ { 180 +2÷ 2 - (4+10)}]​

Answer 1

Required Answer:

$\;\large\underbrace{\underline{\sf{Understanding\;the\;Concept}}}$

The question is about simplying the given problem. It's related to BODMAS.

• BODMAS :- Bracket of division, multiplication, addition and substraction.

In these type of questions, according to the BODMAS we have to first calculate the division then multiplication, addition and in last subtraction.

Solution:

⟹ 148 - [85 ÷ 17 × 2 + {180 + 2 ÷ 2 - (4 + 10)}]

⟹ 148 - [85 ÷ 17 × 2 + {180 + 2 ÷ 2 - 14}]

⟹ 148 - [85 ÷ 17 × 2 + {180 + 1 - 14}]

⟹ 148 - [85 ÷ 17 × 2 + {181 - 14}]

⟹ 148 - [85 ÷ 17 × 2 + 167]

⟹ 148 - [5 × 2 + 167]

⟹ 148 - [10 + 167]

⟹ 148 - 177

⟹ - 29

• The correct answer is -29.

Answer 2

★ Concept ★

Here in this question, concept of BODMAS is used. BODMAS is a rule used to remember mathematical order of operation. It is used to calculate the given values in order.

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As we know that BODMAS stands for:-

B→ Bracket

O→ Off

D→ Divide

M→ Multiply

A→ Addition

S→ Subtraction

So let's solve the problem !!

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★ Solution ★

⇒ 148-[85÷17×2+{180+2÷2-(4+10)}]

According to BODMAS, we have to solve inner bracket first.

⇒ 148-[85÷17×2+{180+2÷2-14}]                   [∵ 4+10=14]

Now, we have to solve divide in inner most bracket.

⇒ 148-[85÷17×2+{180+1-14}]                        [∵ 2÷2=1]

Now, it's step to do addition in inner bracket.

⇒ 148-[85÷17×2+{181-14}]                            [∵ 180+1=181]

Solve inner bracket.

⇒ 148-[85÷17×2+167]                                  [∵ 181-14=167]

Now it's turn of divide.

⇒ 148-[5×2+167]                                          [∵ 85÷17=5]

Now, do multiplication.

⇒ 148-[10+167]                                             [∵ 5×2=10]

Now solve bracket.

⇒ 148-177                                                     [∵ 10+167=177]

Now at last it's subtraction.

$\large{\underline{\boxed{\mathfrak{\implies -29}}}}$                                                    [∵ 148-177=-29]

So the final answer is -29.

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Important thing to note:-

You have to solve inner most bracket first by applying BODMAS rule in it.

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