Question 47

State whether the following statement is true (T) or false (F).

If the sum of two consecutive number is 93 and one of them is x, then the other number is 93-x.

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Solution

True
Given, one of the consecutive number=x
Then, the next consecutive number=x+1
According to the question,
x+x+1=93
$\Rightarrow 2 x = 93 - 1 \Rightarrow 2 x = 92 \Rightarrow \frac{2 x}{2} = \frac{92}{2} ∴ x = 46$
Hence, the other consecutive number =46+1=47=93-46=93-x.

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Commutative Property in Algebra

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Question 47 State whether the following statement is true (T) or false (F). If the sum of two consecutive number is 93 and one of them is x, then the other number is 93-x.

True Given, one of the consecutive number=x Then, the next consecutive number=x+1 According to the question, x+x+1=93 ⇒2x=93−1⇒2x=92⇒2x2=922∴x=46 Hence, the other consecutive number =46+1=47=93-46=93-x.

Question 47

State whether the following statement is true (T) or false (F).

If the sum of two consecutive number is 93 and one of them is x, then the other number is 93-x.

True
Given, one of the consecutive number=x
Then, the next consecutive number=x+1
According to the question,
x+x+1=93
$\Rightarrow 2 x = 93 - 1 \Rightarrow 2 x = 92 \Rightarrow \frac{2 x}{2} = \frac{92}{2} ∴ x = 46$
Hence, the other consecutive number =46+1=47=93-46=93-x.