The ratio of an integer and 2 less than that integer is 2/3. Find the integer.

How to solve an algebra word problem about ratios.
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The best method for converting units is dimensional analysis.

[@tomtke7351]

The ratio of (i.e. A/B) an integer (A) and two less that integer (B = A-2; eq.1) is (=) 2/3. Find that integer. 2 formulas in 2 unknowns: A/B = 2/3 eq.2 B = A - 2 eq.1 eq.2 A/B = 2/3 3A = 2B eq.3 substitute eq.1 into eq.3 3A = 2(A - 2) 3A = 2A - 4 A = -4 ans.1 substitute ans.1 into eq.1 B = A-2 B = -4 -2 B = -6 ans.2 Verify: A = -4 B = -6 A/B = 2/3 eq.2 B = A - 2 eq.1 eq.1 B ?= A - 2 -6 ?= -4 - 2 -6 = -6 ✔️✔️✔️ eq.2 A/B ?= 2/3 (-4)/(-6) ?= 2/3 2/3 = 2/3 ✔️✔️✔️