express the following statement as a linear equation n two variables by taking present ages of mother and son as x and y respectively. The age of the mother 6 years ago was 3 years more than 8 times the age of the her son at that time. find 2 solutions for this equation.
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Heya User ....
--> Mother's age -> 'x'
--> Son's age ----> 'y'
--> Mother's age '6' years ago = ' x - 6 '
--> Son's age '6' years ago = ' y - 6 '
--> Acc. to Qn. :->
-> [ x - 6 ] = 8 [ y - 6 ] + 3
-> x = 8y - 39
-> x - 8y + 39 = 0 -------> [ The Desired Equation ]
Now,
--> 8y = x + 39
-> y = 4 + [ x + 7 ] / 8
=> '8' divides ( x + 7 )
=> x = 1 and x= 9 are two soln.
=> ( x , y ) = ( 1 , 5 ) , ( 9 , 6 )
However, these two are illogical =_=
--> [ Wonder how mother is Younger than Son :p Drives me Crazy ]
=> ( x , y ) = ( 17 , 7 ) --> [ She's still young... Haww. I can flirt too ]
--> ( x , y ) = ( 25 , 8 ) --> [ Young still .. to bear a child ]
--> ( x , y ) = ( 33 , 9 ) , ( 41 , 10 )
Ah! Finally she's at least aged like a mother =_=
Therefore two desired soln. are :->
--> ( x , y ) = ( 33 , 9 ) , ( 41 , 10 ) √√
--> Mother's age -> 'x'
--> Son's age ----> 'y'
--> Mother's age '6' years ago = ' x - 6 '
--> Son's age '6' years ago = ' y - 6 '
--> Acc. to Qn. :->
-> [ x - 6 ] = 8 [ y - 6 ] + 3
-> x = 8y - 39
-> x - 8y + 39 = 0 -------> [ The Desired Equation ]
Now,
--> 8y = x + 39
-> y = 4 + [ x + 7 ] / 8
=> '8' divides ( x + 7 )
=> x = 1 and x= 9 are two soln.
=> ( x , y ) = ( 1 , 5 ) , ( 9 , 6 )
However, these two are illogical =_=
--> [ Wonder how mother is Younger than Son :p Drives me Crazy ]
=> ( x , y ) = ( 17 , 7 ) --> [ She's still young... Haww. I can flirt too ]
--> ( x , y ) = ( 25 , 8 ) --> [ Young still .. to bear a child ]
--> ( x , y ) = ( 33 , 9 ) , ( 41 , 10 )
Ah! Finally she's at least aged like a mother =_=
Therefore two desired soln. are :->
--> ( x , y ) = ( 33 , 9 ) , ( 41 , 10 ) √√
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