Q6 of 61 Page 27

Solve the following simultaneous equations.

Let

…(I)


… (II)


Equating Eq. I and II







Substituting in Eq. I








∴


∴


Multiply Eq. III by 3 and Eq. IV by 4 and Equate







Substituting x=2 in Eq. V








Hence,


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6

Solve the following simultaneous equations.

 6

Solve the following simultaneous equations.

 7

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


 7

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.