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# What Least Number Must Be Added to Each of the Numbers 16, 7, 79 and 43 So that the Resulting Numbers Are in Proportion? - Mathematics

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#### Question

What least number must be added to each of the numbers 16, 7, 79 and 43 so that the resulting
numbers are in proportion?

#### Solution

Let the number added be x.
∴ (16 + x) : (7 + x) :: (79 + x) (43 + x)

(16 +x)/ (7 + x )= (79 +x)/(43 + x)
(16 + x)(43 + x ) = (79 + x )(7 + x )
688 + 16x + 43x + x2 = 553 + 79x + 7x + x2
688 - 553 = 86x - 59x

135 = 27x
x = 5

Thus, the required number which must be added is 5.

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