Find the original number

Algebra Level pending

The sum of the digits of a certain integer having two digits is 11. If the digits are reversed, the new number is 7 greater than twice the original number. Find the original number.

The answer is 38.

1 solution

A Former Brilliant Member
Jan 28, 2018

Let $u$ be the units digit and $t$ be the tens digit, then we have the two equations

$u+t=11$

$10u+t=2+2(10t+u)$

Solving these two simultaneous two equations we get $u=8$ and $t=3$ . So the number is $10(3)+8=\boxed{38}$

Find the original number

The answer is 38.

1 solution

0 pending reports