Sum of the digits of a two digit number multiplied by 8 and then 1 added to it gives the two digit number. Also the difference of the digits multiplied by 13 and then 2 added to it also gives the same two digit number. Find the number?
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Correct option is
Correct option isA
Correct option isA72
Correct option isA72Let two digit number be 10x+y
Correct option isA72Let two digit number be 10x+yGiven 10x+y=(x+y)8−−−−−−−−(1)
Correct option isA72Let two digit number be 10x+yGiven 10x+y=(x+y)8−−−−−−−−(1)⟹14∣x−y∣+2=100x+y, let x>y
Correct option isA72Let two digit number be 10x+yGiven 10x+y=(x+y)8−−−−−−−−(1)⟹14∣x−y∣+2=100x+y, let x>y⟹14(x−y)+2=10x+y
Correct option isA72Let two digit number be 10x+yGiven 10x+y=(x+y)8−−−−−−−−(1)⟹14∣x−y∣+2=100x+y, let x>y⟹14(x−y)+2=10x+y⟹4x−15y+2=0−−−−−−−−(2)
Correct option isA72Let two digit number be 10x+yGiven 10x+y=(x+y)8−−−−−−−−(1)⟹14∣x−y∣+2=100x+y, let x>y⟹14(x−y)+2=10x+y⟹4x−15y+2=0−−−−−−−−(2)from (1) 2x=7y−−−−−−−−(3)
Correct option isA72Let two digit number be 10x+yGiven 10x+y=(x+y)8−−−−−−−−(1)⟹14∣x−y∣+2=100x+y, let x>y⟹14(x−y)+2=10x+y⟹4x−15y+2=0−−−−−−−−(2)from (1) 2x=7y−−−−−−−−(3)From (2) & (3)
Correct option isA72Let two digit number be 10x+yGiven 10x+y=(x+y)8−−−−−−−−(1)⟹14∣x−y∣+2=100x+y, let x>y⟹14(x−y)+2=10x+y⟹4x−15y+2=0−−−−−−−−(2)from (1) 2x=7y−−−−−−−−(3)From (2) & (3)14y−15y+2=0
Correct option isA72Let two digit number be 10x+yGiven 10x+y=(x+y)8−−−−−−−−(1)⟹14∣x−y∣+2=100x+y, let x>y⟹14(x−y)+2=10x+y⟹4x−15y+2=0−−−−−−−−(2)from (1) 2x=7y−−−−−−−−(3)From (2) & (3)14y−15y+2=0y=2
Correct option isA72Let two digit number be 10x+yGiven 10x+y=(x+y)8−−−−−−−−(1)⟹14∣x−y∣+2=100x+y, let x>y⟹14(x−y)+2=10x+y⟹4x−15y+2=0−−−−−−−−(2)from (1) 2x=7y−−−−−−−−(3)From (2) & (3)14y−15y+2=0y=2When y=2,x=7
Correct option isA72Let two digit number be 10x+yGiven 10x+y=(x+y)8−−−−−−−−(1)⟹14∣x−y∣+2=100x+y, let x>y⟹14(x−y)+2=10x+y⟹4x−15y+2=0−−−−−−−−(2)from (1) 2x=7y−−−−−−−−(3)From (2) & (3)14y−15y+2=0y=2When y=2,x=7So number is 72.