Question

A person had ‘a’ rupees and ‘b’ paise. He spent ₹12.20 and was left with 2b rupees and 2a paise. If a < 50 and b< 100, the initial amount that the parson had is____?

Answer 1

Answer:

Step-by-step explanation:

A person had ‘a’ rupees and ‘b’ paise. He spent ₹12.20 and was left with 2b rupees and 2a paise. If a < 50 and b< 100, the initial amount that the parson had is

Given b is greater than or equal to 40, solving this will give a negative value. So it is not possible.  

Because a – 12 = 2 b

            b – 20 = 2 a

Now b < 40

a – 1 – 12 = 2 b

100 + b – 20 = 2 a

80 + b = 2 a

2 a – b = 80

Now from both the equations we have

a – 2 b = 13

2 a – b = 80

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Solving the two equations we get

3 b = 54

 b = 18

a – 2 b = 13

a – 2(18) = 13

 a = 49

So a = 49 and b = 18

Answer 2

Answer:

32.35

Step-by-step explanation:

a = 49

b = 18

take b less than 40