Math, asked by sanjaykhanna9678, 9 months ago

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 vrihemss
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 nikhilgoyanka2007
1

Answer:

d) I hope this answers is right

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