Answer: 9
Step-by-step explanation:
let the two-digit number has the digit 'x' in ten's place and 'y' in one's place.
So, The Original Number will be 10x+y and the Reversed Number will be 10y+x.
Now, According to the given information :
⇒ 5(x+y) + 13 = 10x + y
⇒ 4y + 13 = 5x ......(equation 1)
and,
⇒ 4(x+y) + 21 = 10y + x
⇒ 6y - 21 = 3x ......(equation 2)
By solving equation 1 and 2, we get
y = 8 and x = 9
Hence,
The Original Number = 10x + y = 10×9 + 8 = 98
The Reversed number = 10y + x = 10×8 + 9 = 89
and,
The difference of the original two-digit number and the number with reversed digits is ( 98 - 89 ) = 9.
Hey there! I'm happy to help!
Let's create a basic rectangle with this length to width ratio.
Two sides are 3 and two of them have a length of 2. This would give us a perimeter (distance around) of 10.
We want to find a rectangle with a perimeter of 35 meters with this same ratio. What we can do is multiply all of the dimensions of our first rectangle by 3.5 (to get our perimeter of 10 to 35, we multiply by 3.5).
3×3.5=10.5
2×3.5=7
If we simplify 10.5:7, we have 3:2, and the perimeter of a rectangle with a length of 10.5 and a width of 7 would equal 35 meters.
Have a wonderful day! :D
1.
which is further simplified to
which is 20.
2.