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Q.

If ${(64)}^{2} - {(36)}^{2} = 20 x$ then the value of x is:

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a

70

b

120

c

180

d

140

answer is D.

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Detailed Solution

We are given that the equation as

{(64)}^{2} - {(36)}^{2} = 20 x

Now, let us use the formula of difference of squares of two numbers
We know that the formula for difference of square of two numbers that is

a^{2} - b^{2} = (a + b) (a - b)

Now, by using this formula to given equation we get
⇒(64+36)(64−36)= 20x
⇒100×28= 20x
We know that by changing the multiplication from one side of the equation to the other side it will become division.
Now, by interchanging all the terms except the variable that is taking all terms from RHS to LHS except the variable we get
⇒

\frac{100 \times 28}{20} = x

⇒x= 5×28
⇒x= 140
Therefore we can conclude that the value of x is 140.
So, option (4) is the correct answer.

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