a two digit number is 3 more than six time the sum of its digits if 18 is added to the number obtained by interchanging the digits we get the original number find the number pls give ans step by step i will make you brainlist
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Step-by-step explanation:
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Hello mate...
Answer...
Let the two digit number = x and y
so... the number written as 10x + y.
According to the condition.
= 10x + y = 6( x + y ) + 3
= 4x - 5y = 3 ....................... ( 1 )
If we interchange the digit of original number and we get new number
e.g. 10y + x
Now,
According to the condition.
10y + x + 18 = 10x + y
= 9x - 9y = 18
= x - y = 2 ........................ ( 2 )
multiplying equation by 4 we get....
4x - 4y = 8 ....................... ( 3 )
on subtracting ( 3 ) from ( 1 ) we get..
4x - 5y - (4x - 4y) = 3 - 8
Therfore .. y = 5
subtracting y = 5 in ( 2 ) we get.....
x - 5 = 2
x = 7
Hence,
the number is 10x + y
= 10 × 7 + 5
= 70 + 5
= 75..