Question

A two digits number is3 more than 4 times the sum of the digits. If 18 is added to the number the digits interchange the places. Find the number.

Answer 1

Answer:

And let the ten's digit be 'y'. According to question, If 18 is added to the number, the digit are reversed. Hence, the number will be 35.

Answer 2

Answer:

53

Step-by-step explanation:

Let tens digit be = x

then , units digit = y

number = 10x + y

reversed number = 10y + x

Given ,  

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

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

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

6y - 3x = 3

2(2y - x) = 3

2y - x = 3--------1

second part of the question says -

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

10y - y + x - 10x = 18

9y - 9x = 18

9 ( y - x ) = 18

y - x = 18 / 9

y - x = 2---------2

Now we should add the equation 1 and 2

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

2y-y=3

y=3........(3)

put equation (3) in equation (2)

x-y=2

x-3=2

x=2+3

x=5  

hence, the number will be  

10x+y

10*5+3

50+3

53

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