Question

20. The weight of four boxes together is 66.5 kg.
The weight of box B is 2 kg less than box A
and the weight of box C is 1.5 kg more than
box A. If the weight of box Dis 1.5 kg more
an box C, find the weight of each box.​

Answer 1

Answer:

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Step-by-step explanation:

From the given data we can write

B = A−2

C = A+1.5

D = C+1.5 = A+1.5+1.5 = A+3

We have A+B+C+D = 66.5

⇒A+A−2+A+1.5+A+3 = 66.5

⇒4A=64

⇒A=16

Therefore

box A weighs 16kg,

box B weighs 16−2=14kg,

box C weighs 16+1.5=17.5kg and

box D weighs 16+3=19kg

Hence A weighs 16kg

B weighs 14kg

C weighs 17.5kg

D weighs 19kg

Answer 2

Answer:

Suppose that the weight of box A is x kg then weight of box b is x minus 2 kg then wt. of box c is x + 1.5 kg , wt. of box d is x + 1.5 + 1.5 then total is equal to 66.50 kg after solve the question 4 x is equal 0to 64 kg then X will be 16 kg then answer Box A is equal to 16 kg , box B is equal to 14 kg , C is equal to 17.50 kg AND BOX D is equal to 19 kg TOTAL WEIGHT OF ALL FOUR BOXES IS GIVEN IN THE QUESTION 66.50, it is quite a right answer