Arithmatical - Problems on Ages
DIRECTIONS : Problems based on Ages.
19. |
A person was asked to state his age in years. His reply was, “Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.” What was the age of the person? |
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A. 14 years |
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B. 18 years |
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C. 20 years |
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D. 32 years |
Solution |
Let the present ages of the person be x years. |
Then | 3(x-3)-3(x-3) |
‹=› x= (3x+9)-(3x-9) |
x=18. |
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20. |
Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age ? |
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A. 1 year |
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B. 2 year |
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C. 25 year |
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D. Data inadequate |
Solution |
R - Q = R - T | Q = T. |
Also, | R + T = 50 |
‹=› R + Q = 50. |
So, (R - Q) cannot be determined. |
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21. |
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child ? |
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A. 4 years |
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B. 8 years |
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C. 10 years |
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D. 12 years |
Solution |
Let the ages of the children be x,(x+3),(x+6),(x+9) and (x+12) years. |
Then, | x+(x+3)+(x+6)+(x+9)+(x+12)=50 |
5x=20 |
x=4. |
Age of the youngest child | =4 years. |
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