The sum of the digits of a 2 digit number is 12 . If 18 is added to it the digits are reversed . Find the number.
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7
Answer:
57
Step-by-step explanation:
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Step-by-step explanation:
Let, the two digits no. be 10x + y.
ATQ;
X + Y = 12( given)...(1)
and,
18+(10x+Y)= 10y+ x
18+ 10x + y= 10y + x
10x - x + y -10 y = 18
9x - 9y = 18...(2)
Elimination method;
(1) × 9= 9x + 9y = 108
(2)×1= 9x - 9y = 18.
18 y = 90.
= y =. 90/18=5
now, putting the value of 'y' in (1);
x+ y = 12
x+ 5= 12
x= 12- 5= 7
hence, the value of X= 7
and, y= 5..so the no. is 75(ans).
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