1.

A number consists of two digits, the difference of whose digits is 3. If 4 times the number is equal to 7 times the number obtained by reversing the digits, find the number.

Answer»

Step-by-step explanation:

let the NUMBER be 10x+y

given x-y=3

A.T.Q

4(10x+y)=7(10y+x)

40x+4y=70y+7x

33x=66y

33x-66y=0

x-2y=0

from (i) y=x-3

putting the VALUE we get

x-2(x-3)=0

x-2x+6=0

-x=-6

(x=6)

substituting the values,

x-y=3

6-y=3

(y=3)

HENCE the number is 10x+y i.e.,

10(6)+3=63 ans.

hope it helps.....

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