Question

This year my age is a multiple of 7. Next year, it will be a multiple of5. I am above 20 years old but less than 80. What is my age?

• A. 35
• B. 49
• C. 56
• D. 70

Answer 1

The correct option is B 49

My age lies between $20$ and $50$.
Therefore, it should be among the list of multiple of $7$ are $21,28,35,42,49,56,63,70,77.$
Given,
Next year, it will be a multiple of $5$.
Among the numbers in the list, the only number when increased by $1$ (to get next year's age) which becomes a multiple of $5$ ($5\times 10=50$) is $49$.
Therefore, the required age is $49$.