10 students of 10th class participated in Quiz programme. The number of girls participated in it is 4 more than boys. So find the number of boys and girls participated in Quiz.
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let number of boys=X
number of girls=y
total students=10
y=4+X-----(1)
X+y=10
from (1)
X+4+X=10
2x+4=10
2x=10-4
2x=6
X=6/2=3
y=4+X
=4+3
=7
number of boys=X=3
number of girls=y=7
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༒ Qυєѕтiσи ༒
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10 sᴛᴜᴅᴇɴᴛs ᴏғ 10ᴛʜ ᴄʟᴀss ᴘᴀʀᴛɪᴄɪᴘᴀᴛᴇᴅ ɪɴ Qᴜɪᴢ ᴘʀᴏɢʀᴀᴍᴍᴇ. Tʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ɢɪʀʟs ᴘᴀʀᴛɪᴄɪᴘᴀᴛᴇᴅ ɪɴ ɪᴛ ɪs 4 ᴍᴏʀᴇ ᴛʜᴀɴ ʙᴏʏs. Sᴏ ғɪɴᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ʙᴏʏs ᴀɴᴅ ɢɪʀʟs ᴘᴀʀᴛɪᴄɪᴘᴀᴛᴇᴅ ɪɴ Qᴜɪᴢ.
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★彡 Sσℓυтiσи 彡★
✎﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏
ʟᴇᴛ's ᴀssᴜᴍᴇ
- ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ɢɪʀʟs = x
- ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ʙᴏʏs = y
Tʜᴇɴ,
Tʜᴇɴ,Tᴏᴛᴀʟ sᴛᴜᴅᴇɴᴛs = x + y = 10 ........( 1 )
ᴛʜᴇ ɴᴏ. ᴏғ ɢɪʀʟs = ɴᴏ. ᴏғ ʙᴏʏs + 4x = y + 4 ......( 2 )
Pᴜᴛ ᴛʜɪs x ᴠᴀʟᴜᴇ ɪɴ ᴇquation ( 1 ), ᴡᴇ ɢᴇᴛ
y + 4 + y = 10
⟹ 2y + 4 = 10
⟹ 2y = 10 - 4
⟹ 2y = 6
⟹ y = 6/2
⟹ y = 3
Sᴏ ʏ = 3 ᴛʜᴇɴ
x + y = 10 ʙᴇᴄᴏᴍᴇs
⟹ x + 3 = 10
⟹ x = 10 - 3
⟹ x = 7
So,
- ɴᴜᴍʙᴇʀ ᴏғ ɢɪʀʟs = 7
- ɴᴜᴍʙᴇʀ ᴏғ ɢɪʀʟs = 7ɴᴜᴍʙᴇʀ ᴏғ ʙᴏʏs = 3
✎﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏
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