Question

Jimmy set a target score for his Math test. After the Math teacher returned his test paper to him, he realized that if he increased his target score by 10%, he would need 1 more mark to reach his actual test score. If he increased his target score by 15%, this target score would exceed his actual test score by 3 marks. Find his actual test score.

Answer 1

$hey \: bro \: here \: is \: your \: answer. \\ final \: result \: = 89 \: marks \\ let \: the \: target \: and \: actual \: score \: \\ be \: \: (x) \: and \: (y) \: marks \: \\ respectively. \\ \\ according \: to \: the \: question \: we \: get \\ \\ \: \: x + \frac{x}{100} \times 10 \: + 1 = y \\ implies \: 11x - 10y = - 10 \\ \\ and \: \\ \: x + \frac{x}{100} \times 15 = y + 3 \\ implies \: 23x - 20y = 60 \\ solving \: these \: two \: equations \: \\ we \: get \: y = 89 \: \: and \: x \: = 80 \\ actual \: score \: is \: 89marks. \\ hope \: you \: understand \: my \: \\ answer \: \: and \: it \: may \: helps \: you.$