3) The sum of the digits of a two digit number is 10. If 36 is subtracted from the number, the digit interchange their places Find the number

73

Step-by-step explanation:

Number is xy

x+y=10  a

(10x+y) - 36 = 10y+x

10x-x+y-10y=36

9x-9y=36

9(x-y)=36

x-y=4 b

a+b: 2x = 14       x = 7

y = 10 - 7 = 3

The two digit number is 73

check:  7 + 3 = 10

73-36 = 37   (73 vs 37)

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,