Question

A fraction become 8/11 if 2 is added to both numerator and denominator it becomes 5/6. Find the fraction​

Answer 1

Answer:

sᴇᴀʀᴄʜ-ɪᴄᴏɴ-ʜᴇᴀᴅᴇʀ

ᴀ ғʀᴀᴄᴛɪᴏɴ ʙᴇᴄᴏᴍᴇs

11

9

ɪғ 2 ɪs ᴀᴅᴅᴇᴅ ᴛᴏ ʙᴏᴛʜ ᴛʜᴇ ɴᴜᴍᴇʀᴀᴛᴏʀ ᴀɴᴅ ᴛʜᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ. ɪғ 3 ɪs ᴀᴅᴅᴇᴅ ᴛᴏ ʙᴏᴛʜ ᴛʜᴇ ɴᴜᴍᴇʀᴀᴛᴏʀ ᴀɴᴅ ᴛʜᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ ɪᴛ ʙᴇᴄᴏᴍᴇs

6

5

, ғɪɴᴅ ᴛʜᴇ ғʀᴀᴄᴛɪᴏɴ.

ᴍᴇᴅɪᴜᴍ

sᴏʟᴜᴛɪᴏɴ

ᴠᴇʀɪғɪᴇᴅ

ᴠᴇʀɪғɪᴇᴅ ʙʏ ᴛᴏᴘᴘʀ

ʟᴇᴛ ᴛʜᴇ ғʀᴀᴄᴛɪᴏɴ ʙᴇ

ʏ

x

ɢɪᴠᴇɴ ᴛʜᴀᴛ

ʏ+2

x+2

=

11

9

⇒11x+22=9ʏ+18

⇒11x−9ʏ+4=0→ɪ

⇒

ʏ+3

x+3

=

6

5

⇒6x+18=5ʏ+15

⇒6x−5ʏ+3=0→ɪɪ

⇒ɪ×5−ɪɪ×9

⇒55x−45ʏ+20=0

⇒54x−45ʏ+27=0

ᴇǫ(ɪ)−ᴇǫ(ɪɪ)

⇒x−7=0

⇒x=7

⇒ʏ=

9

11x+4

=

9

11(7)+4

=

9

81

=9

∴ғʀᴀᴄᴛɪᴏɴ ɪs

ʏ

x

=

9

7