The sum of two digit number and the number obtained by reversing the order of its digits is 165. If the digits differ by 3 , find the number.
Hriday0102:
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Hi Dear !
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Let the No. Be xy
ATGC ,
xy + yx = 165
10x + y + 10y+x = 165
11x + 11y = 165
Divide Both sides By 11
x + y = 15 __________(1)
Also,x - y = 3 ____________(2)
By 1 and 2 we get
2x = 18
x = 9
y = 6
so the number is
So the number is 96 or 69
___________________________________________________________
_______________________________________________________
Let the No. Be xy
ATGC ,
xy + yx = 165
10x + y + 10y+x = 165
11x + 11y = 165
Divide Both sides By 11
x + y = 15 __________(1)
Also,x - y = 3 ____________(2)
By 1 and 2 we get
2x = 18
x = 9
y = 6
so the number is
So the number is 96 or 69
___________________________________________________________
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