Question

The sum of a​ student's three scores is 213. If the first is 21 points more than the​ second, and the sum of the first two is 3 more than twice the​ third, what was the first​ score?

Answer 1

& Let x,y,z are the marks of studente Its sum is 213. afyft=213 to.. than Given, first is more than 21 points second x = 21ty tº . more than Given, sum of first two is 3 twice the Theed efy = 22 +3:. put xfy= 22 +3 in equation ④ 22736Z = 213 37 = 213-3 32 = 210 7 Z = 240 = 70

put 2=to in equation o 2+ yf 70 = 213 afy = 213-70 afy = 143 + ☺ From @, x-y = 21 . Solving above equatióne x+y = 143 x =21 2x = 164 A x = 164 = 42 put x=82 in equatecs © . 82fy = 143 . y = 143-82 y = 61 Three scores of shetente ale 82, 61, 70 - 1 .