Question

16. I shall write a two digit number, the sum of two-digits of which is 14 and if 29 is subtracte
from the number, the two digits will be equal. Let us form the simultaneous equations an​

Answer 1

Step-by-step explanation:

95, 86, 77, 68, or 59. If 29 is subtracted from the number then two digits becomes equal so let us try all these terms. 59–29= 30,.

Answer 2

Answer:

95

Step-by-step explanation:

Let the number be xy

Given x+y = 14

10x+y - 29 = 10d+d —- Where d is some digit

10x + 14 -x - 29 = 11d

9x - 15 = 11d

9x = 11d + 15

Since LHS is a multiple of 9, RHS also should be. 15 leaves a remainder of 6 when dividing with 9. So 11d should leave a remainder of 3, the only such possibility is when d is 6.

So d=6, x =9, y = 5

Answer is 95