Page 174 - Maths Class 06
P. 174
Exercise11.6
1. Find a number which when multiplied by 2 is increased by 80.
2. The sum of three consec utive natural numbers is 114. Find the numbers.
3. The length of a rect an gu lar park is 5 metres more than its breadth. If the perim e ter of the park is
74 metres, find its length and breadth.
4. A wire of length 86 cm is bent in the form of a rect an gle such that its length is 7 cm more than its
breadth. Find the length and breadth of the rectangle so formed.
5. Reena is 27 years older than her daugh ter Rekha. After 8 years she will be twice as old as Rekha.
Find their present ages.
6. When Arjun multi plies a certain number by 17 and adds 4 to the prod uct, he gets 225. Find that
number.
7. Find two numbers such that one of them exceeds the other by 18 and their sum is 92.
8. The length of a rect an gu lar field is thrice its breadth. If the perim e ter of the field is 168 metres,
find its dimensions.
9. Mr Verma is thrice as old as his son. Three years ago Mr Sharma was four times as old as his son.
Find their present ages.
10. The number of boys in a school is 334 more than the number of girls. If the total strength of the
school is 572, find the number of girls in the school.
C
11. From the figure, find the magnitude of the
angles in given figure: 3x°
[Hints : Sum of three angles of a triangle is 180°] 2x° x°
A B
12. Manav is twice as old as his brother Vikram. If the differ ence of their ages be 11 year, find their
pres ent ages.
13. Kamal is 6 years older than his brother Akash. If the sum of their ages is 28 years, what are their
pres ent ages?
14. A bag contains 25-paisa and 50-paisa coins whose total value is ` 30. If the number of 25-paisa
coins is four times that of 50-paisa coins, find the number of each type of coins.
15. Mr Agrawal is 4 times as old as his son. After 16 years he will be only twice old as his son. Find
their present ages.
(3x – 8) cm
D C
16. Find the perim eter of the square in the given figure.
Also find the value of x. Square (x + 14) cm
[Hints : Sides of a square is equal in length.]
A B
174
