The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ?
A) 28 B) 19 C) 37 D) 46
Answers
Answered by
7
Answer:
Let number be (10x + y)
According to question,
(10x + y) - (10y + x) = 54
10x - 10y + y - x = 54
Or, 9x - 9y = 54
Or, x - y = 6 -------(i)
Sum of digits,
(x + y) = 10 ------- (ii)
(i) - (ii)
So, x - y - x - y = 6 - 10
Or, -2y = -4
Or, y = 2 and, x = 8
Then, the required number is
= (10y + x)
= 10 × 2 + 8
= 28
hope this help u
Answered by
1
Answer:
d) I hope this answers is right
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