the sum of two digit number and the number obtained by reversing the order of its digit of 99. express this statement as a lined equation in two variables
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Answer:
answer is 9and9 of the given equation
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let the digits are x and y so..
If i write a no. xy then= 10x + y e.g. 32= 10x3+2 so.. reversing of xy is yx and yx=10y+x
Now..
A/Q : x-y=3 eq1 10x+y+ 10y+x = 99 eq 2 x+y=9 eq 3
so from eq 2
10x+y+10y+x= 99 11x+11y=99
Now
from eq 1
we have
x-y=3
x=3+y
substituing value of x in eq 3
x+y=9 3+y+y=9
2y=6
y=3
Substituting value of y in eq1
x-y=3
X-3=3
x=6
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so the no. is 36 or 63
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