Question

arpit has 21 coins consiting of 1 and 2 rupee coins.He has 34 rs in total .How many 1 and 2 rupee coins does arpit have

Answer 1

let number of Re 1 coin be x

=> number of Rs2 coin = 21-x

ATQ

x +2(21-x) = 34

=> x +42-2x = 34

=> x = 8

21-x = 21-8 = 13

Answer 2

$\orange{\bold{\underline{\underline{Given}}}}$

• Total number of coins = 21

• Total money = 34₹

$\orange{\bold{\underline{\underline{To \ Find}}}}$

• Number of 1 rupee coin

• Number of 2 rupee coin

$\orange{\bold{\underline{\underline{Solution}}}}$

Now,

➦ Let the no of 1 - rupee coins be 'x'

And,

➦ Number of 2 - rupee coin = y

Then,

➢ ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ 1sᴛ ᴄᴏɴᴅɪᴛɪᴏɴ :-

• x + y = 21. ---(1)

➢ ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ 2nd ᴄᴏɴᴅɪᴛɪᴏɴ

• x + 2y = 34. ---(2)

On subtracting (1) from (2) , We get,

➮ ( x + 2y) - (x + y) = 34 - 21

➮ x - x + 2y - y = 13

➮ y = 13

Put this value of y in (1) , We get,

➮ x + y = 21

➮ x + 13 = 21

➮ x = 21 - 13

➮ x = 8

Hence,.

• Number of 1-rupee coin = 8

• Number of 2-rupee coin = 13