2 Mark Question

Question 12 Marks

If 11 is subtracted from 4 times a number, the result is 89. Find the number.

Answer

Let the required number is x Then, 4x - 11 = 89 Or, 4x = 89 + 11 $\Rightarrow\text{x}=\frac{100}{4}$x = 25

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Question 22 Marks

Write a statement for the equation, given below:
x - 7 = 14

Answer

7 less than from the number x is 14.

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Question 32 Marks

A man earns Rs. 25 per hour. How much does he earn in x hours?

Answer

Earning of the man per hour = Rs. 25
Earning of the man in x hours = Rs. (25 × x)
= Rs. 25x

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Question 42 Marks

Verify by substitution that:
The root of 8 - 7y = 1 is y = 1

Answer

The given equation is 8 - 7y = 1 Substituting y = 1, we get L.H.S. = 8 - 7y
= 8 - 7 × 1
= 8 - 7
= 1
= R.H.S.
Hence, it verified that y = 1 is the root of the given equation.

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Question 52 Marks

Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what are their present ages?

Answer

Let Ajay's age is x years and Reena's age is x + 6
Then, x + x + 6 = 28
Or, 2x = 28 - 6
$\Rightarrow\text{x}=\frac{22}{2}$
x = 11
So, the present age of ajay is 11 and reena is (11 + 6) = 17

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Question 62 Marks

Verify by substitution that:
The root of 3x - 5 = 7 is x = 4

Answer

The given equation is 3x - 5 = 7
Substituting x = 4, we get
L.H.S. = 3x - 5
= 3 × 4 - 5
= 12 - 5
= 7 = R.H.S.
It is verified that x = 4 is the root of the given equation.

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Question 72 Marks

Find a number which when multiplied by 5 is increased by 80.

Answer

Then, 5x = 80 + xOr, 5x - x = 80
⇒ 4x = 80
$\Rightarrow\text{x}=\frac{80}{4}$
x = 20

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Question 82 Marks

Verify by substitution that:
The root of 3 + 2x = 9 is x = 3

Answer

The given equation is 3 + 2x = 9
Substituting x = 3, we get L.H.S. = 3 + 2x
= 3 + 2 × 3
= 3 + 6 = 9
= R.H.S.
It is verified that x = 3 is the root of the given equation.

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Question 92 Marks

Verify by substitution that:
The root of 5x - 8 = 2x - 2 is x = 2

Answer

The given equation is 5x - 8 = 2x - 2
Substituting x = 2, we get
L.H.S. = 5x - 8
=5 × 2 - 8
= 10 - 8
= 2
R.H.S. = 2x - 2
= 2 × 2 - 2
= 4 - 2
= 2
L.H.S. = R.H.S.
Hence, it is verified that x = 2, is the root of the given equation.

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Question 102 Marks

The sum of three consecutive natural numbers is 114. Find the numbers.

Answer

Let the required numbers are, x, x + 1, x + 2Then, x + x + 1 + x + 2 = 114
Or, 3x = 114 - 3
$\Rightarrow\text{x}=\frac{111}{3}$
x = 37
So, the numbers are 37, 38 and 39

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Question 112 Marks

Verify by substitution that:
The root of $\frac{\text{z}}{7}=8$ is $\text{z}=56$

Answer

The given equation is $\frac{\text{z}}{7}=8$
Substituting the value of z = 56, we get
L. H. S. = $\frac{56}{7}$
= 8
= R.H.S.
Hence, it is verified that z = 56 is the root of the given equation.

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Question 122 Marks

Deepak is twice as old as his brother Vikas. If the difference of their ages be 11 years, find their present ages.

Answer

Let the age of Vikas is x years and Deepak is 2x years
Then, 2x - x = 11
Or, x = 11
So, their present ages are 11 and 22 years

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Question 132 Marks

If 9 is added to a certain number, the result is 36. Find the number.

Answer

Let the required number is xThen, x + 9 = 36
Or, x = 36 - 9
x = 27

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Maths 2 Mark Question

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