Question : The average height of three kids is 56 cm and their heights are in the proportions of 7 : 8 : 9. Find the heights of all three.
Option 1: 42 cm, 48 cm, and 54 cm
Option 2: 56 cm, 64 cm, and 72 cm
Option 3: 35 cm, 40 cm, and 45 cm
Option 4: 49 cm, 56 cm, and 63 cm
Correct Answer: 49 cm, 56 cm, and 63 cm
Solution : The average height of three kids = 56 cm The sum of the heights = 56 × 3 = 168 cm The given ratio of heights = 7 : 8 : 9 Let the heights be $7x, 8x$, and $9x$ According to the question: $7x+8x+9x=168$ ⇒ $24x=168$ ⇒ $x=7$ $\therefore$ The heights are $7x, 8x$, and $9x$ = 49, 56, and 63 Hence, the correct answer is 49 cm, 56 cm, and 63 cm.
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