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Answer

The number of coins 50 paisa are 32 and number of coins of 25 paisa are 20

Step-by-step explanation:

let us assume that the number of 50 paise coin be x .

Let us assume that the number of 25 paise coin be y .

As given

A man has Rs 21 in the form of 50 paise and 25 paise coins.

As 0.01 Rupee = 1 paise

Than the equation becomes

0.01 × 50x + 0.01 × 25y = 21

Simplify the above

50x + 25y = 2100

If the total no of coins are 52.

Than the equation becomes

x + y = 52  

Two equations are

x + y = 52  

50x + 25y = 2100

Multiply x + y = 52 by 50 and subtracted from 50x + 25y = 2100 .

50x - 50x + 25y - 50y = 2100 - 2600

-25y = -500

y = 20

Putting this value in x + y = 52 .

x + 20 = 52

x = 52 -20

x = 32

Therefore the number of coins 50 paise are 32 and number of coins of 25 paise are 20 .