Question

The sum of three consecutive multiples of 9 is 999. Find the multiples...​

Answer 1

1

sᴇᴄᴏɴᴅᴀʀʏ sᴄʜᴏᴏʟ ᴍᴀᴛʜ 5 ᴘᴏɪɴᴛs

ᴛʜᴇ sᴜᴍ ᴏғ ᴛʜʀᴇᴇ ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ ᴍᴜʟᴛɪᴘʟᴇ ᴏғ 9 ɪs 999 . ғɪɴᴅ ᴛʜᴇsᴇ ᴍᴜʟᴛɪᴘʟᴇ

ᴀsᴋ ғᴏʀ ᴅᴇᴛᴀɪʟs ғᴏʟʟᴏᴡ ʀᴇᴘᴏʀᴛ ʙʏ sᴀᴜʀᴀᴠ45 09.11.2017

ᴀɴsᴡᴇʀs

ᴀɴᴋɪᴛ1408

ᴀɴᴋɪᴛ1408 ᴀᴄᴇ

ʜᴇʟʟᴏ ᴜsᴇʀs .....

ɢɪᴠᴇɴ ᴛʜᴀᴛ :

ᴛʜᴇ sᴜᴍ ᴏғ ᴛʜʀᴇᴇ ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ ᴍᴜʟᴛɪᴘʟᴇ ᴏғ 9 ɪs 999 .

ᴡᴇ ʜᴀᴠᴇ ᴛᴏ ғɪɴᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀs .

sᴏʟᴜᴛɪᴏɴ:-

ʟᴇᴛ. ᴛʜᴇ ғɪʀsᴛ ᴍᴜʟᴛɪᴘʟᴇ ᴏғ 9 = 9x

ʙᴇᴄᴀᴜsᴇ ᴛʜᴇsᴇ ᴀʀᴇ ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ .

ᴛʜᴇɴ

2ɴᴅ ɴᴜᴍʙᴇʀ = 9(x+1)

3ʀᴅ ɴᴜᴍʙᴇʀ = 9(x+2)

ɴᴏᴡ,

ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ϙᴜᴇsᴛɪᴏɴ:

9x +9(x+1) + 9(x+2) = 999

=> 27x +27 = 999

=> 27x = 999-27 = 972

=> x = 36

ʜᴇɴᴄᴇ;

1sᴛ ɴᴜᴍʙᴇʀ ᴍᴜʟᴛɪᴘʟᴇ ᴏғ 9 = 9× 36 = 324

2ɴᴅ ɴᴜᴍʙᴇʀ ᴍᴜʟᴛɪᴘʟᴇ ᴏғ 9 = 9×37 = 333

3ʀᴅ ɴᴜᴍʙᴇʀ ᴍᴜʟᴛɪᴘʟᴇ ᴏғ 9 =9× 38 = 342

✡✡ ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ✡✡

Answer 2

Answer:

The sum of three consecutive multiples of 9 is 999.

the multiples...