a certain sum of two digits is equal to five times the sum of the digits. If 9 is added to the number the digits are interchanged find the number by simultaneous linear equation
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Step-by-step explanation:
Let the numbers in 2 digit number be x & y, such that number is 10x+y.
Given,
10x+y = 5(x+y), 5x = 4y.
10x+y+9 = 10y+x, 9(x+1) = 9y, y = x+1.
From points-1 & 2 , lets
y = (x+1) = 5x/4.
4x+4 = 5x
Therefore x = 4 & y = 5(x+1).
Hence number is 45 & their sum is 9.
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