the sum of the digit of a two digit number is 9. if the digits are reversed, the number is 63 more than the original. find the number
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Answer:
your answer is 3 and 6...
Step-by-step explanation:
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Answered by
1
Step-by-step explanation:
let the digit be =x
and tens digit be = y
so,
number is = 10y +× eq..5
Now A.T.Q ,
》》 x + y =9 eq..1
10 y + x = 9 eq..2
and 10x +y = 63 + 10 y +x eq...3
so from eq 2. we get .,
10 x + y = 63 + 10y +×
10x -× +y -10y =63
9× - 9y =63
9(×-y) =63
x - y = 7
x = 7+ y eq...4
now put eq .3 in eq 1
so ,
7 + y +y =9
.2y = 2
》》》 y = 1
and
x +1 =9
》》》 × = 8
so ,
the number is 》》 10y +× = 10(1) + (8)
= 10 +8 == [ 18 ]
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