Question

A number is 1 more than the 5 times the sum of its digits. When the digits are reversed, the number increases by 9. Find the number. *​

Answer 1

Step-by-step explanation:

Let the number be 10x+y which = 5(x+y), or

10x+y = 5x+5y, or

5x=4y, or

x = (4/5)y …(1)

10y+x = 10x+y+9 or

9y= 9x+9, or

y = x+1, or

x = y-1 …(2)

Equate (1) and (2)

(4/5)y = y-1, or

4y = 5y-5, or

y = 5 and x = 4.

So the number is 45. Answer

Answer 2

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