Discussion

What number should be added to each of the numbers 94, 24, 100 and 26 so that resulting numbers are in proportion ?

Answer: B

The number to add is 11.

For \((94 + x), (24 + x), (100 + x), (26 + x)\) to be in proportion, the product of the extremes equals the product of the means:

\[ \begin{aligned} (94 + x)(26 + x) &= (24 + x)(100 + x) \\ 2444 + 120x &= 2400 + 124x \\ x &= 11 \end{aligned} \]

Check: 105 : 35 = 3 : 1 and 111 : 37 = 3 : 1. The other values do not make the two ratios equal.

A quick check from the options: adding 11 makes each pair a 3 : 1 ratio, while adding 10 gives 104 : 34 and 110 : 36, which are unequal.

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