the average height of a class of 24 boys is 5'2 by the admission of one new boys the average heigh decreased by 1/5 find the height of the new boy
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Given
the average height of a class of 24 boys is 5'2 by the admission of one new boys the average height decreased by 1/5 find the height of the new boy
ANSWER
Let the height be converted to inches. So 5’2’’ can be written as 5’ is 12 x 5 = 60 inches. So 60 + 2 = 62 inches. And 1/5 = 0.2 inches.
Let h be the height of the new boy in inches.
Now 24 x 62 + h / 25 = 62 – 0.2
1488 + h = 61.8 x 25
1488 + h = 1545
H = 1545 – 1488
H = 57 inches = 4’ 9”
So height of the new boy is 4’ 9”
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