(a) Take Sarita's present age to be y yr.
(i) What will be her age 5 yr from now?
(ii) What was her age 3 yr back?
(iii) Sarita's grandfather is 6 times her age. What is the age of her grandfather?
(iv) Grandmother is 2 yr younger than grandfather. What is grandmother's age?
(v) Sarita's father's age is 5 yr more than 3 times Sarita's age. What is her father's age?

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 stepsto the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.

The perimeter of an equilateral triangle having each side x cm long is 15 cm. Find the length of the side.

Rahul scores 20 more runs than twice of the runs scored by Vipin. If Vipin made 10 runs, what is the score of Rahul?

Sonal got 5 marks less than that of Ritu in a competition. If Ritu got 15 marks, how many marks obtained by Sonal?

Solve the following riddles, you may yourself construct such riddles.

Who am I ?
(i) Go round a square Counting every comer Thrice and no more! Add the count to me To get exactly thirty four!
(ii) For each day of the week make an upcount from me If you make no mistake You will get twenty three!
(iii) I am a special number Take away from me a six! A whole cricket team You will still be able to fix!
(iv) Tell me who I am I shall give a pretty clue! You will get me back If you take me out of twenty two!

Anil is x years old. Express the following in algebraic form.
(a) Anil's age after a period of 15 yr.
(b) 5 times Anil's age, 5 yr ago.
(c) What is his father's age, if he is 15 yr more than double of Anil's age?
(d) The present age of Anil's cousin, if his cousin is three years less than one-third Anil's age five years ago.
(e) Find the age of Anil's grandfather, if his age is double his son's age and the age of Anil's father is 20 yr more than Anil's age.

Form an equation for the given statements.
(a) When 14 is added to a number, the result is 70.
(b) The difference of a number with 3 is 10.
(c) Five times a number is 25.
(d) A number divided by 3 gives 15.
(e) Three is added to two times of a number given 13.

Translate each of the following statements into an equation, using x as the variable.
(a) 13 subtracted from twice a number gives 3.
(b) One-fifth of a number is 5 less than that number.
(c) Two-third of a number is 12.
(d) 9 added to twice a number gives 13.
(e) 1 subtracted from one-third of a number gives 1.

Length and breadth of a bulletin board are r cm and t cm, respectively.
(a) What will be the length (in cm) of the aluminium strip required to frame the board, if 10 cm extra strip is required to fix it properly?
(b) If x nails are used to repair one board, how many nails will be required to repair 15 such boards?
(c) If 500 sq cm extra cloth per board is required to cover the edges, what will be the total area of the cloth required to cover 8 such boards?
(d) What will be the expenditure for making 23 boards, if the carpenter charges Rsx per board.

Write two equations for which 2 is the solution. Give corresponding expressions.

Cost of 3 dozen bananas is Rs 54. Rehman has Rs 18 with him. He wants to give bananas to the poor people on the street.
(a) How many bananas he can buy?
(b) Mention the value depict from Rehman?

In a village, there are 9 water tanks to collect rain water. On a particular day, x L of rain water is collected per tank. If 200 L of water was already there in one of the tanks, what is the total amount of water in the tanks on that day?

Sunita is half the age of her mother Geeta. Find their ages
(i) after 4 yr?
(ii) before 3 yr?

Perimeter of a triangle is found by using the formula P = 2 a + 2b + 2c, where 2a, 2b and 2c are the length sides of the triangle. Write the rule that is expressed by this formula in words.

Sumit is x yr old and Amit is 6 yr old. If their ages are multiplied, the result is their grandfather's age. Their father's age is 42 and exactly half of their grandfather's age. Then, find the age of Sumit.

Three boxes weight are (k+ 4) kg, 2k kg and (3k - 4) kg. If the second box weight is 6 kg, find the total weight of the three boxes.

Karan scored 2 x marks in English and x marks in Mathematics. His score in Science was 60.If his total score for the three subjects was 180 then calculate his score in English.

A group of x boys planned to go on a summer vacation camp. Each bought food to last for 21 days. But due to some reason, 2x boys joined the camp later. Then, how many days would the same amount of food last?

The internal angles of a triangle are 2 x ,3 x and 5x. What is the difference between the largest and smallest angle?

The internal angels of an equilateral triangle are x, 2x, 4x and 5x. What is the difference between the largest and smallest angle?

The area of a rectangle is 40 cm². If its length is (2k - 5) cm and its breadth is 8 cm. Then, find the value of k. 

If 3a + 2b = 12 and 2 a + 4b = 10, then find the values of a and b.

Raju brought x packet of pencils, each containing 10 pencils. She distributed 6 packets. Which expression show the number of pencils left with her?

When Ekta multiples a certain number by 17and adds 4 to the product, he gets 225. Find that number.