a number with two digits is four times the sum of its digits .the number formed by reversing the order is 27 more than the it. Fine the number
Answers
Answered by
1
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
Similar questions