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Standard VI

Mathematics

Formation of Algebraic Equations

Question 23 I...

Question

Question 23

I think of a number and on adding 13 to it, I get 27. Equation for this is

(a) x - 27 = 13

(b) x - 13 = 27

(c) x + 27 = 13

(d) x + 13 = 27

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Solution

Option (d).

Let the number be $x$ .

Adding 13 to the number $x$ can be expressed as $x + 13$ .

Given, adding 13 to the number gives 27.

$∴ x + 13 = 27$

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Question 23

I think of a number and on adding 13 to it, I get 27. Equation for this is

(a) x - 27 = 13

(b) x - 13 = 27

(d) x + 13 = 27

Question 5

To find the sum of three numbers 14, 27 and 13, we can have two ways:
(a) We may first add 14 and 27 to get 41 and then add 13 to it to get the total sum 54 or
(b) We may add 27 and 13 to get 40 and then add 14 to get the sum 54. Thus (14 + 27) + 13 = 14 + (27 + 13)
This can be done for any three numbers. This property is known as the associativity of addition of numbers. Express this property which we have already studied in the chapter on whole numbers, in a general way, by using variables a, b, and c.

Question 5

To find the sum of three numbers 14, 27 and 13, we can have two ways:
(a) We may first add 14 and 27 to get 41 and then add 13 to it to get the total sum 54 or
(b) We may add 27 and 13 to get 40 and then add 14 to get the sum 54. Thus (14 + 27) + 13 = 14 + (27 + 13)
This can be done for any three numbers. This property is known as the associativity of addition of numbers. Express this property which we have already studied in the chapter on whole numbers, in a general way, by using variables a, b, and c.

To find sum of three numbers 14, 27 and 13, we can have two ways:

(a) We may first add 14 and 27 to get 41 and then add 13 to it to get the total sum 54 or

(b) We may add 27 and 13 to get 40 and then add 14 to get the sum 54. Thus, (14 + 27) + 13 = 14 + (27 + 13)

This can be done for any three numbers. This property is known as the associativity of addition of numbers. Express this property which we have already studied in the chapter on whole numbers, in a general way, by using variables a, b and c.

{(-13)+27 } +(_41) =(-13) +{27 + (_) =

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Formation of Algebraic Equations

Standard VI Mathematics

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Question 23 I think of a number and on adding 13 to it, I get 27. Equation for this is (a) x - 27 = 13 (b) x - 13 = 27 (c) x + 27 = 13 (d) x + 13 = 27

Option (d). Let the number be x. Adding 13 to the number x can be expressed as x+13. Given, adding 13 to the number gives 27. ∴x+13=27

Question 23

I think of a number and on adding 13 to it, I get 27. Equation for this is

(a) x - 27 = 13

(b) x - 13 = 27

(c) x + 27 = 13

(d) x + 13 = 27

Option (d).

Let the number be $x$ .

Adding 13 to the number $x$ can be expressed as $x + 13$ .

Given, adding 13 to the number gives 27.

$∴ x + 13 = 27$