If the average of 4 kids age is 3c and the average of two of them is 33. find the value of c.


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Question Number 39727 by Rio Mike last updated on 10/Jul/18

$I f t h e a v e r a g e o f 4 k i d s a g e i s$ $3 c a n d t h e a v e r a g e o f t w o$ $o f t h e m i s 33 . f i n d t h e v a l u e$ $o f c .$
Commented by MrW3 last updated on 10/Jul/18

$w h e n t h e a v e r a g e a g e o f t w o k i d s i s$ $33, I t h i n k a t l e a s t o n e o f t h e m i s$ $n o k i d a n y m o r e . o r h a v e y o u e v e r s e e n t w o 33 y e a r s$ $o l d k i d s i n y o u r s c h o o l ? s o I {d o n}^{'} t t r e a t t h e m$ $a s k i d s, b u t a s p e r s i o n s .$ $a v e r a g e a g e o f 4 p e r s o n s i s 3 c, i t$ $m e a n s t h e s u m o f t h e i r a g e s i s$ $12 c . s i n c e t w o o f t h e m h a v e a t o t a l$ $a g e o f 66 . t h e t o t a l a g e o f t h e o t h e r$ $t w o p e r s o n s i s 12 c - 66 . {l e t}^{'} s a s s u m e$ $t h e s e p e r s o n s a r e n o b a b y s m o r e, i . e .$ $e a c h i s a t l e a s t o n e y e a r o l d, t h e n w e$ $h a v e 12 c - 66 ⩾ 2$ $\Rightarrow c ⩾ \frac{68}{12} = \frac{17}{3} \approx 5.7$ $i f c s h o u l d b e i n t e g e r, t h e n c ⩾ 6 .$ $i n g e n e r a l t h e m o s t p e o p l e c a n n o t b e$ $m o r e t h a n 100 y e a r s o l d, t h e n w e$ $h a v e 12 c - 66 ⩽ 200$ $\Rightarrow c ⩽ \frac{266}{12} = \frac{133}{6} \approx 22.2$ $s o w i t h n o r m a l h u m a n u n d e r s t a n d i n g$ $t h e v a l u e o f c s h o u l d b e b e t w e e n 6$ $a n d 22 :$ $i . e . : 6 ⩽ c ⩽ 22$
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