a number consists of two digits whose sum is 5. when the digits are reversed the number becomes greater by 9 find the number.
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Answered by
356
HI !
Let the number be 10x +y ,
x = ten's place , y = one's place
x + y = 5 ---> [1]
reversed no: ,
10y + x
10x+ y + 9 = 10y+x
9x - 9y = -9
x - y = -1 ---> [2]
Adding equations 1 and 2
x + y = 5
x - y = -1
======
2x = 4
x = 2
x -y = -1
2 - y = -1
2 + 1 = y
3 = y
the number is :-
10x + y
10 x 2 + 3
= 23
The no: is 23
Let the number be 10x +y ,
x = ten's place , y = one's place
x + y = 5 ---> [1]
reversed no: ,
10y + x
10x+ y + 9 = 10y+x
9x - 9y = -9
x - y = -1 ---> [2]
Adding equations 1 and 2
x + y = 5
x - y = -1
======
2x = 4
x = 2
x -y = -1
2 - y = -1
2 + 1 = y
3 = y
the number is :-
10x + y
10 x 2 + 3
= 23
The no: is 23
tdmj:
10q very much
Answered by
40
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hope this will help u
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