seven times a number exceeds the other number by 12 . if their sum is 72 find the number
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lets the number be X
1) X
2)(X*7)+12
3)X+(X*7)+12=72
X+7X=72-12
8X=60
X=60/8
answer of your question is :- 7.5
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Answer:
ʟᴇᴛ ᴏɴᴇ ɴᴜᴍʙᴇʀ ʙᴇ x .
∴ ᴏᴛʜᴇʀ ɴᴜᴍʙᴇʀ = x - 12
ɴᴏᴡ , ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ Qᴜᴇꜱᴛɪᴏɴ
x + ( x - 12 ) = 72 ⇒ x + x - 12 = 72
⇒ 2x - 12 = 72
ᴛʀᴀɴꜱᴘᴏꜱɪɴɢ -12 ꜰʀᴏᴍ ᒪᕼՏ ᴛᴏ ᖇᕼՏ , ᴡᴇ ɢᴇᴛ
⇒ 2x = 72 + 12 ⇒ 2x = 84
ᴅɪᴠɪᴅɪɴɢ ʙᴏᴛʜ ꜱɪᴅᴇꜱ ʙʏ 2 , ᴡᴇ ɢᴇᴛ
⇒ 2x/2 = 84/2 ⇒ x = 42
∴ x - 12 = 42 - 12 = 30
ʜᴇɴᴄᴇ , ʀᴇQᴜɪʀᴇᴅ ɴᴜᴍʙᴇʀꜱ ᴀʀᴇ 42 ᴀɴᴅ 30 .
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