Example 5. A number consists of two digits whose sum is 9. If 9 is sub

1.	Example 5. A number consists of two digits whose sum is 9. If 9 is subtracted from the number, Bdigits are interchanged. Find the numberSolution: I et the ones digit
Answer» Let us assume, x and y are the two digits of a two-digit number.Therefore, the two-digit number = 10x + y and the reversed number = 10y + x Given:x + y = 9 ---------1 Also given:10x + y - 9 = 10y + x9x - 9y = 9x - y = 1 -----------2 Adding equation 1 and equation 22x = 10x = 5 Therefore, y = 9 - x = 9 - 5 = 4 Therefore, the two digit number = 10x + y = 10*5 + 4 = 54 Thank you

Example 5. A number consists of two digits whose sum is 9. If 9 is subtracted from the number, Bdigits are interchanged. Find the numberSolution: I et the ones digit

Answer»

Let us assume, x and y are the two digits of a two-digit number.Therefore, the two-digit number = 10x + y and the reversed number = 10y + x

Given:x + y = 9 ---------1

Also given:10x + y - 9 = 10y + x9x - 9y = 9x - y = 1 -----------2

Adding equation 1 and equation 22x = 10x = 5

Therefore, y = 9 - x = 9 - 5 = 4

Therefore, the two digit number = 10x + y = 10*5 + 4 = 54

Thank you