## a two digit number is 3 more than 4 times the sum of its digits if 18 is added to the number its digits are reserved find the number

Question

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## Answers ( )

SOLUTION :Let the ten’s digit number be

rLet the one’s digit number be

mA/q&∴ Putting the value of

min equation (1),we get;Thus;

Let the required number be ab.

Sum of digits = a + b …….. ( 1 )

10 a + b = 4 ( a + b )

10 a + b + 18 = 10 b + a

=> 9 a + 18 = 9 b

=> a + 2 = b

10 a + a + 2 = 4 ( a + a + 2 )

=> 11 a + 2 = 8 a + 8

=> 3 a = 6

=> a = 3

=> a + 2 = 5

=>ab = 35……… [ A ]

So the number becomes 35.

ANSWER :

The original number is 35.