Math New Drill (Level 1) : Sum and Difference Problem 2(2) TOHO-2014

Three people of Taro, Jiro, Hanako took a test of Math.

The total score of three people was 228 points.

Taro's score was 18 points higher than Jiro's score.

The average score of Taro and Jiro was the same as a score of Hanako.

Find Taro's score.








Answer
85 points

Solution
Accordning to Taro + Jiro + Hanako = 228 and Taro + Jiro = Hanako × 2, Hanako × 3 = 228.

Thus Hanako = 228 / 3 = 76.
Taro + Jiro = 76 × 2 = 152

Taro - Jiro = 18
Therefore Taro = (152 + 18) / 2 = 85 points.