Advertisements
Advertisements
प्रश्न
The sum of the ages of Anup and his father is 100. When Anup is as old as his father now, he will be five times as old as his son Anuj is now. Anuj will be eight years older than Anup is now, when Anup is as old as his father. What are their ages now?
उत्तर
When Anup is as old as his father now, i.e.,
After (100 – x) – x years Anuj’s age is equal to his fathers present age + 8
⇒ Present age of Anuj + (100 – 2x) = Present age of Anup + 8
= 100 – x + 5(100 – 2x) = 5(x + 8)
= 100 – x + 500 – 10x = 5x + 40
= –11x – 5x = 40 – 600
= x = `(-560)/(-16)`
= 35
∴ Anup’s present age is 35 years
Father’s present age = 100 – 35 = 65 years
Anuj’s present age = `(100 - 35)/5`
= 13 years
APPEARS IN
संबंधित प्रश्न
Solve: `z/(z + 15) = 4/9`
Solve: `(7y + y)/(y + 2) = (-4)/3`
The ages of sonu and Monu are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.
I am currently 5 times as old as my son. In 6 years time I will be three times as old as he will be then. What are our ages now?
There are 180 multiple choice questions in a test. If a candidate gets 4 marks for every correct answer and for every unattempted or wrongly answered question one mark is deducted from the total score of correct answers. If a candidate scored 450 marks in the test, how many questions did he answer correctly?
The length of a rectangle exceeds its breadth by 9 cm. If length and breadth are each increased by 3 cm, the area of the new rectangle will be 84 cm2 more than that of the given rectangle. Find the length and breath of the given rectangle.
A lady went shopping and spent half of what she had on buying hankies and gave a rupee to a beggar waiting outside the shop. She spent half of what was left on a lunch and followed that up with a two rupee tip. She spent half of the remaining amount on a book and three rupees on bus fare. When she reached home, she found that she had exactly one rupee left. How much money did she start with?
Solve: `(x + 1)/(2x + 3) = 3/8`.
The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is ______.
Solve the following:
`(3x - 8)/(2x) = 1`
