Kantabai bought  kg tea and 5 kg sugar from a shop. She paid Rs 50 as return fare for rickshaw. Total expense was Rs 700. Then she realised that by ordering online the goods can be bought with free home delivery at the same price. So next month she placed the order online for 2 kg tea and 7 kg sugar. She paid Rs 880 for that. Find the rate of sugar and tea per kg.

Solve the following simultaneous equations.

Solve the following word problems.

A two digit number and the number with digits interchanged add up to 143. In the given number the digit in unit’s place is 3 more than the digit in the ten’s place. Find the original number.

Let the digit in unit’s place is x

and that in the ten’s place is y

The number obtained by interchanging the digits is

According to first condition two digit number + the number obtained by interchanging the digits = 143

From the second condition,

digit in unit’s place = digit in the ten’s place + 3

Adding equations (I) and (II)

Putting this value of x in equation (I)

x + y = 13

The original number is 10

To find number of notes that Anushka had, complete the following activity

Sum of the present ages of Manish and Savita is 31. Manish’s age 3 years ago was 4 times the age of Savita. Find their present ages.