Question

the sum of a two digit number is 15. after interchanging the digits the number obtained is less than the number by 27 find the number​

Answer 1

Step-by-step explanation:

Two digit number = 10x+y

10x+y+27=10y+x; x+y=15

Subtract (x+y) from both sides

9x+27=9y

Divide by 9

x+3=y

3=y-x

add 15 to both sides

18=y-x+(x+y)

18=2y

y=9, x=6

10x+y = 69 is the number

alternatively

Reversing digits changes number by 27 indicates that y-x = 3

Sum of 15 with difference of 3… = 15/2 +or- 3/2 = 6&9

69 is the number

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