Answer the following:
(a) Take Sarita’s present age to be y years
(i) What will be her age 5 years from now?
(ii) What was her age 3 years back?
(iii) Sarita’s grandfather is 6 times her age. What is the age of her grandfather?
(iv) Grandmother is 2 years younger than grandfather. What is grandmother's age?
(v) Sarita’s father’s age is 5 years more than 3 times Sarita’s age. What is her father's age?
(b) The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?
(c) A rectangular box has height h cm. Its length is 5 times the height and breadth is 10 cm less than the length. Express the length and the breadth of the box in terms of the height.
(d) Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of steps to the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.
(e) A bus travels at v km per hour. It is going from Daspur to Beespur. After the bus has travelled 5 hours, Beespur is still 20 km away. What is the distance from Daspur to Beespur? Express it using v.
Let age of Sarita = y years
(i) Age of Sarita after 5 years = (y+5) years
(ii) Age of Sarita 3 years back = (y-3) years
(iii) Age of Sarita's grandfather = 6y
(iv) Age of Sarita's grandmother = 6y-2
(v) Age of Sarita's father = 3y+5
Breadth of rectangular hall = b meters
Length of the rectangular hall = (3b-4) meters
Height of the rectangular box = h cm
Length of the rectangular box = 5h cm
Breadth of the rectangular hall = (5h-10) cm
It is given to us that Meena is at step s.
Beena is 8 steps ahead of Meena. Therefore, Beena is at (s+8)th step
Leena is 7 steps behind from Meena. It means that Leena is at (s-7)th step.
Total number of steps to the hill = (4s-10)
Speed of bus = v km/hour
Distance travelled by bus in 5 hours = speed time = v 5 = 5v km
Bus is still 20 km away from the destination. It means that distance between Daspur and Beespur = (5v+20) km