Question

the sum of digits of the two digit number is 16. If 12 is added to this number, the new number is 100.find the original number
write statement too​

Answer 1

Answer:

88

Step-by-step explanation:

because 100-12=88

8+8=16

so 88 is the answer

Answer 2

let the digits be x and y, thus the number is 10x + y

x+y = 16, so y = 16 - x - eqn 1

12 is added, thus,
10x + y + 12 = 100
10x + y = 88 - eqn 2

substituting eqn 1 in eqn 2,
10x + 16 - x = 88
9x = 72
x = 8 ; y = 16 - 8 = 8

Thus, the number = 10x+y = 80 + 8 = 88