The discussion centers on calculating the integer part of the expression $A=(\dfrac{16\times72+17\times73+18\times74+19\times75}{16\times71+17\times72+18\times73+19\times74})\times 150$. The solution reveals that the integer part of A is 152, derived from the formula $152 +\frac{16 * 8 + 17 * 6 + 18 * 4 + 19 *2}{16 * 71 + 17 * 72 + 18 * 73 + 19 * 74}$. This approach demonstrates a clever method for simplifying complex mathematical expressions.
PREREQUISITESMathematics students, educators, and anyone interested in enhancing their problem-solving skills in algebra and rational expressions.
it should be:kaliprasad said:A = $( 1+\frac{16+ 17+ 18 + 19}{16 * 71 + 17 * 72 + 18 * 73 + 19 * 74}) * 150$
= $150 +\frac{16 * 150 + 17 * 150 + 18 * 150 + 19 *150}{16 * 71 + 17 * 72 + 18 * 73 + 19 * 74}$
= $152 +\frac{16 * 8 + 17 * 6 + 18 * 4 + 19 *8}{16 * 71 + 17 * 72 + 18 * 73 + 19 * 74}$
so ans = 152