MathDB

7

Part of 2022 AIME Problems

Problems(2)

Get Ratioed

Source: AIME I #7

2/9/2022
Let a,b,c,d,e,f,g,h,ia, b, c, d, e, f, g, h, i be distinct integers from 11 to 99. The minimum possible positive value of a⋅b⋅c−d⋅e⋅fg⋅h⋅i\frac{a \cdot b \cdot c - d \cdot e \cdot f}{g \cdot h \cdot i} can be written as mn,\frac{m}{n}, where mm and nn are relatively prime positive integers. Find m+n.m+n.
AIMEAIME IAIME Qualification
Circles and triangles - the pinnacle of geometry

Source: 2022 AIME II Problem 7

2/17/2022
A circle with radius 66 is externally tangent to a circle with radius 2424. Find the area of the triangular region bounded by the three common tangent lines of these two circles.
AIMEAIME IIgeometry