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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