Question

(3) The sum of father's age and twice the age of his son is 70. If we double the age
of the father and add it to the age of his son the sum is 95. Find their present ages.
X.

(4) The denominator of a fraction is 4 more than twice its numerator. Denominator
becomes 12 times the numerator, if both the numerator and the denominator are
reduced by 6. Find the fraction.


5) Two types of boxes A, B are to be placed in a truck having capacity of 10 tons.
When 150 boxes of type A and 100 boxes of type B are loaded in the truck, it
weighes 10 tons. But when 260 boxes of type A are loaded in the truck, it can still
accommodate 40 boxes of type B, so that it is fully loaded. Find the weight of each
type of box.


6)Out of 1900 km, Vishal travelled some distance by bus and some by aeroplane.
Bus travels with average speed 60 km/hr and the average speed of aeroplane is
700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vishal
travelled by bus.​

Answer 1

3) let the father's age be x and son's age be y.

given,

  x+2y=70

   2x+y=95

We have got a pair of linear equation in two variables,and now solve it using any of the three methods.

     ans: father's age = 40

             son's age = 15

4) let the numerator be x and denominator be y.

   given,

          y=4+2x or  2x+4=y

          y-6=12(x-6) or 12 (x-6)+6 =y

We have got a pair of linear equation in two variables,and now solve it using any of the three methods.

     ans: numerator =7             denominator=18

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