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Q.

Find the whole number which when decreased by 20 is equal to 69 times the reciprocal of the number.

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a

25

b

29

c

23

d

30

answer is C.

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Detailed Solution

Concept-
We will use the idea of word issues to make equations with the statistics given within the hassle, then we are able to use the method of solving equations in one variable to discover the answer.
Now, for the reason that the entire range while reduced by 20 is identical to sixty nine instances, the reciprocal of the wide variety. So, we have in step with the query,

(x - 20) = 69 x

Let this equation be equation (1)
Cross multiplying,

x (x - 20) = 69

x^{2} - 20 x = 69

x^{2} - 20 x - 69 = 0

Factorizing,

x^{2} - 23 x + 3 x - 69 = 0

x (x - 23) + 3 (x - 23) = 0

(x + 3) (x - 23) = 0

x = - 3 or x = 23

Therefore,

x = 23

is the answer.
Hence, the correct answer is option 3) 23

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