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A girl was asked to multiply a number by $$\frac{7}{8}$$, instead she divided the number by $$\frac{7}{8}$$ and got the result 15 more than the correct result. The sum of the digits of the number was -
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& {\text{Let the number be x}} \cr
& {\text{According to question}} \cr
& \frac{x}{{7/8}} - \frac{7}{8}x = 15 \cr
& \frac{8}{7}x - \frac{7}{8}x = 15 \cr
& \frac{{64x - 49x}}{{56}} = 15 \cr
& 15x = 15 \times 56 \cr
& x = 56 \cr
& {\text{Sum of digits }} \cr
& = 5{\text{ }} + {\text{ }}6 \cr
& = 11 \cr} $$
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