Question

1. Five years hence, father’s age will be three times the age of his son. Five years ago, father was seven times as old as his son. Find their present ages. [40; 10 yrs.]
2. A boat cover 32 km upstream & 36 km downstream in 7 hrs. Also, it covers 40 km upstream & 48 km downstream in 9 hrs. find the speed of boat in still water & that of stream. [10, 2]
3. The ratio of incomes of two persons is 9 : 7 and ratio of their expenditures is 4 : 3. If each of them saves Rs. 200 per month, find their monthly incomes. [Rs. 1800,Rs. 1400]
4. The sum of a two digit numbers and number formed by interchanging the digit is 132. If 12 is added to number, the new number becomes 5 times the sum of the digits. Find number. [48]
5. The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes ½ .find the fraction. [5/7]
6. Students of a class are made to stand in rows. If one student is extra in row, there would be 2 rows less. If one student is less in row there would be 3 rows more. Find the number of students in a class. [60]
7. If 2 is added to the numerator of a fraction, it reduces to ½ and if 1 is subtracted from the denominator, it reduces to 1/3. Find the fraction.
8. 5 years hence, a man’s age will be 3 times that of his son. Five years ago, his age was 7 times that of his son. What are their present age?
9. A women has only 20 paise coins and 25 paise coins in her purse. If she has 50 coins in all totalling to Rs. 11.25, how many coins of each does she possess?
10. The area of a rectangle gets increased by 350 sq. Units. If its length as well as breadth is increased by 5 units. The area increases by 175 sq. Units, if only breadth is increased by 5 units. Find the dimensions.
11. 2 kg apples and 3 kg oranges costs Rs. 200 whereas 3kg apples and 2 kg oranges cost Rs. 190. Find the cost of 1 kg apples and 1 kg oranges.
12. 2 men and 3 women can do work in 5 days. 3 men and 2 women can do the same work in 6 days. In how many days a man and a woman can do the same work?
13. The sum of the digits of two – digit number is 12. The number obtained by interchanging its digit is 18 less than the original number. Find the number.
14. 2 years ago ‘X’ was 5 times of the age of ‘Y’. Three years later ‘X’ will be three times of ‘Y’. find the present ages.
15. A number consists of two digits. When it is divided by the sum of the digits, the quotient is 7. If 27 is subtracted from the number, the digits are reversed. Find the number.
16. A boat goes 16 km upstream and 24 km downstream in 6 hours . It can go 12km upstream and 3km downstream in the same time. Find the speed of the boat in still water and the speed of the stream.
17. The taxi charges in a city comprises of a fixed charge together with the charge for the distance covered. A journey of 10 km cost Rs. 75 and that of 15km, Rs. 110. What will a person have to pay for travelling distance of 25km?
18. The area of a rectangle gets reduced by 80 sq. Units if its length is decreased by 5 units and breadth is increased by 2 units. The area increased by 50 sq. Units if its length is increased by 10 units and breadth is decreased by 5 units. Find the dimensions.
19. Points A and B are 70 km apart. A car starts from ‘A’ and another from ‘B’ at the same time. If they travel in same direction, they meet after 7 hrs. but if they travel towards each other, they meet after 60 minutes. What are their speeds?
20. Abdul travelled 300 km by train and 200km by taxi, it took him 5 hr 30 min. But if he travels 260km by train and 240 km by taxi he takes 6 min. longer. Find the speed of train and taxi.

Answer 1

Answer:

Let father's age = x

son's age = y

Five years hence, age of father = x+5 

                                 age of son = y+5

So (x+5) = 3(y+5)

⇒ x =3y+10

Five years ago, age of father = x-5 

                                 age of son = y-5

So x-5 = 7(y-5)

⇒3y + 10 - 5 = 7y - 35

⇒ 4y = 40

⇒y = 10  <<<<<<<<son's age

   x = 3y +10 = 40 <<<<<<father's age

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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