Maths Olympiad Prep

Library / /17 of 144

Algebra Difficulty 1.7 Junior Find the answer

If x+81=25x+\sqrt{81}=25, what is the value of xx?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

If x+81=25x+\sqrt{81}=25, then x+9=25x+9=25 or x=16x=16.

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: Omni-MATH, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.