Let the digit at tens place be x and the digit at units place be y.

Therefore the no. is— (10x+y ) ——————————-as x is at tens place.

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

10x+y=4(x+y)

10x+y=4x+4y

6x=3y

(2x=y )——————————————————————————————- 1

Now the digits are interchanged.

Therefore the new no is —( 10y+x)

As the new no is 6 less than twice the original no.—

Therefore,

10y+x=2(10x+y)-6

10y+x+6=20x+2y

10y-2y+6=20x-x

8y+6=19x

(8y+6)/19=x

As we have got the value of x,lets substitute it in equation 1

Therefore,

2(8y+6)/19=y

16y+12=19y

12=19y-16y

12=3y

y=12/3=4

y=4

Substituting the value of y in equation 1

Therefore,

2x=4

x=4/2=2

x=2

y=4

Therefore the no. is

10x+y=10(2)+4=20+4=24

Therefore the no. is 24

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