the sum of digit of a 2-digit number is 9. If 27 is subtracted from the number we get 2-digit number with the sequence of digit changed. Find the number.
Answers
Answer:
63
Step-by-step explanation:
Let us assume, x and y are the two digits of the two-digit number
Therefore, the two-digit number = 10x + y and reversed number = 10y + x
Given:
x + y = 9 -------------1
also given:
10x + y - 27 = 10y + x
9x - 9y = 27
x - y = 3 --------------2
Adding equation 1 and equation 2
2x = 12
x = 6
Therefore, y = 9 - x = 9 - 6 = 3
The two-digit number = 10x + y = 10*6 + 3 = 63
PLS MARK AS BRAINLIEST!!!!!!!
Let me draw an equation.
Assume Z is the Numer and it was a two digit number so,
Z = x+10y
x + y = 9
Z - 27 = 10x + y
Z = 10x + y + 27
10x + y + 27 = x + 10y
27 = x + 10y -10x -y
9y -9x = 27
9(y-x) = 27
y - x = (27/9) = 3
x + y = 9
add above two
2y = 12
y = 6
x + y = 9
x + 6 = 9
x = 3
Z = 3 + (10*6)
Z = 3 + 60 = 63
Z = 63
Hope the above equation will solve many problem by just passing different values -:-)