Question

two numbers are in the ratio of 7:9 .if is substracted from each of them. the ratio become 3:5 which of the following are the possible number​

Answer 1

Answer:

ʜᴇʀᴇ ɪs ʏᴏᴜʀ ᴀɴsᴡᴇʀ ⬇️

Step-by-step explanation:

➡️sᴏ ʙᴀsɪᴄᴀʟʟʏ ᴛʜᴇ ᴀᴄᴛᴜᴀʟ ʀᴀᴛɪᴏ ɪs 7:9.

ᴏʀ ɪᴛ ᴄᴀɴ ᴀʟsᴏ ʙᴇ ᴡʀɪᴛᴛᴇɴ ᴀs 7 ᴜɴɪᴛs:9 ᴜɴɪᴛs

➡️ɴᴏᴡ ʟᴇᴛ ᴀ ᴜɴɪᴛ = x

➡️ᴛʜᴇʀᴇғᴏʀᴇ ʀᴀᴛɪᴏ ɪs 7x:9x

➡️ᴀɴᴅ ᴛʜᴇ 2 ɴᴜᴍʙᴇʀs ᴀʀᴇ ᴀʟsᴏ 7x ᴀɴᴅ 9x, ʙᴇᴄᴀᴜsᴇ ʀᴀᴛɪᴏ ɪs ʙᴀsɪᴄᴀʟʟʏ ᴅɪᴠɪsɪᴏɴ, sɪ ᴡʜᴇɴ ʏᴏᴜ ᴄᴀʟᴄᴜʟᴀᴛᴇ ʀᴀᴛɪᴏ ᴏғ ᴛʜᴇsᴇ 2 ɴᴜᴍʙᴇʀs, ɪᴛ ᴄᴏᴍᴇs ᴏᴜᴛ ᴀs 7:9 ᴡʜɪᴄʜ ɪs ᴛʜᴇ ᴀᴄᴛᴜᴀʟ ʀᴀᴛɪᴏ.

➡️ɴᴏᴡ ᴡʜᴇɴ 12 ɪs sᴜʙᴛʀᴀᴄᴛᴇᴅ ғʀᴏᴍ ᴇᴀᴄʜ ɴᴜᴍʙᴇʀ ʀᴀᴛɪᴏ ʙᴇᴄᴏᴍᴇs 3:5

➡️ᴡʜɪᴄʜ ɪɴ ᴀ sɪᴍɪʟᴀʀ ᴡᴀʏ ᴛᴏ ᴡʜᴀᴛ ɪ ʜᴀᴠᴇ ᴇxᴘʟᴀɪɴᴇᴅ ᴀʙᴏᴠᴇ ᴄᴀɴ ʙᴇ ᴡʀɪᴛᴛᴇɴ ᴀs 3x:5x ᴀɴᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀs ᴡɪʟʟ ʙᴇ 3x ᴀɴᴅ 5x

➡️ɴᴏᴡ ᴡᴇ ʜᴀᴠᴇ

• 7x-12=3x

• 7x-3x=12
• 4x=12

• x=12/4=3

➡️ɴᴏᴡ ᴡᴇ ʜᴀᴠᴇ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ x, ᴡʜɪᴄʜ ᴄᴀɴ ʙᴇ ᴠᴇʀɪғɪᴇᴅ ʙʏ ᴘᴜᴛᴛɪɴɢ ɪᴛ ɪɴ ᴛʜᴇ ᴏᴛʜᴇʀ ᴇǫᴜᴀᴛɪᴏɴ ᴛʜᴀᴛ ɪs

• 9x-12=5x

• 9(3)-12=5(3)
• 27–12=15

• 15=15

➡️ᴛʜᴇʀᴇғᴏʀᴇ ᴛʜᴇ 2 ɴᴜᴍʙᴇʀs ᴀʀᴇ

• 7(3)= 21

• 9(3)= 27

➡️ᴡʜᴇɴ ᴡᴇ ᴍᴜʟᴛɪᴘʟʏ ᴛʜᴇɴ ʙᴏᴛʜ ᴛᴏɢᴇᴛʜᴇʀ

• 21(27) = 567

ᴛʜᴇʀᴇғᴏʀᴇ ᴛʜᴇ ᴀɴsᴡᴇʀ ᴛᴏ ʏᴏᴜʀ ǫᴜᴇsᴛɪᴏɴ ɪs 567