Question

a two digit number is 3 more than 4 times the sum of the digits if 18 is added to the number the digit reversed​

Answer 1

Ello user !!!!!!!!

Here is your answer,

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Let the digits be x and y.

Thus, number=10x+y

Now,

(10x+y) - 4(x+y)= 3.....(i)

and

(10x+y)+ 18=10y+x.....(ii)

Solving (i)

10x+y-4x-4y=3

or,6x-3y=3

or,2x-y=1....(1)

Solving (ii)

10x+y-10y-x=-18

or, 9y-9x=18

or,y-x=2...(2)

(1)+(2)

2x-y+y-x=1+2

or,x=3

Thus, y=x+2 (from (2))

y=5

Therefore the number= 10x+y=10x3+5

                                      =35

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HOPE THIS HELPS YOUU :)

AND STAY BLESSED.

Answer 2

Heya

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Let the two digit number be xy

ACCORDING TO THE QUESTION

3 + 4 ( x + y ) = 10x + y

6x - 3y = 3

2x - y = 1 .... Equation ( i )

10x + y + 18 = 10y + x

9x - 9y = -18

x - y = -2

y - x = 2 .... Equation ( ii )

y = 2 + x

Now, out y = 2 + x in Equation i

2x - 2 - x = 1

x = 3 And y = 5

So, the two digits number is 35

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Any two digit number say ( ab ) can be written as

10a + b