Question

The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in
the resulting number will be equal. The number is
a) 37
b) 73
c) 75
d) none of these numbers.​

Answer 1

Answer:

hope you get your ans

Step-by-step explanation:

Let x = 10's digit of a two digit number

Let y = units digit

Let z = the resulting equal digits

:

Write an equation for each statement:

:

"the sum of a two digit number is 10."

x + y = 10

or

y = (10-x)

:

" if 18 be subtracted from it, the digits in the resulting number will be equal."

10x + y - 18 = 10z + z

10x + y = 11z + 18

:

Substitute (10-x) for y

10x + (10-x) = 11z + 18

10x - x = 11z + 18 - 10

9x = 11z + 8

:

The single digit integer values for x and z are limited to x=7 and z=5 in this equation:

x = 7, y = 3, z = 5

:

The number is 73

:

Check in the statement:

"if 18 be subtracted from it, the digits in the resulting number will be equal."

73 - 18 = 55