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​

Answer 1

I think the number is 5 .

Explanation

(5+5)=10

18-5=13

18-5=13

Answer 2

Answer:

Let the tens 's digit of a two digit number be x.

let the units digit be y.

• Let the Resulting equal digits be n Condition 1-the sum of a two digit number is 10.

$\sf \: x + y = 10$

• further simplifying

$\sf \implies \: y = (10-x)$

$\sf\small{ \underline{\underline{ \pmb{Condition \: \: 2:-}}}}$

if 18 be subtracted from it the $\sf \: 10x + y - 18 = 10n + n$ digits in the resulting number will be equal.

$\sf \implies \: 10x + y = 11n+ 18$

• Substitutituting values found above

$\sf \implies \: 10x + (10-x) = 11n + 18$

$\sf \implies \: 10x - x = 11n + 18 - 10$

$\sf \implies \: 9x = 11n+ 8$

If we solve it we will found the values as - x = 7, y = 3, z = 5 and finally we can say the number is 73.