Problem: if x , y , and z are positive integers and 2 x = 3 y = 4 z , then the least possible value of x + y + z is
Rationale: "given 2 x = 3 y = 5 z x + y + z in terms of x = x + ( 2 x / 3 ) + ( 2 x / 5 ) = 31 x / 15 now checking with each of the answers and see which value gives a minimum integer value . a x = 15 / 31 * 40 , not an integer b , c , d can be ruled out similarly . e is minimum value as x = 15 * 31 / 31 = 15 answer is e"
annotated_formula: add(subtract(divide(multiply(multiply(2, 3), 4), 2), divide(multiply(multiply(2, 3), 4), 3)), divide(multiply(multiply(2, 3), 4), 4))