Question

One fourth of a number exceeds one fifth of its succeeding number by 3 . find the number

Answer 1

Let the number be x
Then its successor will be x+1
1/4 x = 1/5(x+1) +3
1/4 x - 3=1/5(x+1)
(x-12)/4=1/5(x+1)
5(x-12)=4(x+1)
5x-60=4x+4
5x-4x=4+60
x=64

Answer 2

ʜᴇy ᴜꜱᴇʀ

ʜᴇʀᴇ ɪꜱ yᴏᴜʀ ᴀɴꜱᴡᴇʀ :-

----------------------------------------------------------

ʟᴇᴛ ᴛʜᴇ ɴᴜᴍʙᴇʀ ʙᴇ x

ꜱᴏ ʙy ᴛʜᴇ ᴄᴏɴᴅɪᴛɪᴏɴ ɢɪᴠᴇɴ ɪɴ ᴛʜᴇ qᴜᴇꜱᴛɪᴏɴ

1/4 x = 1/5 ( x + 1 ) + 3

=> 1/4 x = 1/5 ( x + 1 + 15 )

=> 5x = 4 ( x + 16 )

=> 5x = 4x + 64

=> 5x - 4x = 64

=> x = 64