Avereage temperature of a place on Monday, Tuesday, Wednesday and Friday was found to be 58 C and the average temperature on Monday, Tuesday, Thrusday and Friday was 62 C. If the ratio of temperature on Wednesday and Thursday is 15: 19 find the temperatures on Wednesday and Thursday.

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Solution

$L e t t e m p e r a t u r e s o n M o n d a y, T u e s d a y, W e d n e s d a y, T h u r s d a y, F r i d a y b e M, U, W, H, F r e s p e c t i v e l y A v e r a g e o f t e m p e r a t u r e s o n M o n d a y, T u e s d a y, W e d n e s d a y, F r i d a y = M + U + W + F / 4 = 58 \Rightarrow M + U + W + F = 232 - - - - (1) A l s o, a v e r a g e o f t e m p e r a t u r e s o n M o n d a y, T u e s d a y, T h u r s d a y, F r i d a y = M + U + H + F / 4 = 62 \Rightarrow M + U + H + F = 248 - - - - (2) S u b t r a c t i n g e q u a t i o n (1) f r o m e q u a t i o n (2) w e g e t H - W = 16 - - - - (3) G i v e n W / H = 15 / 19 \Rightarrow W = 15 H / 19 e q u a t i o n (3) c a n b e w r i t t e n a s H - 15 H / 19 = 16 4 H = 16 \times 19 H = 76 T h u s W = H - 16 = 76 - 16 = 60 T h u s t e m p e r a t u r e o n W e d n e s d a y = 60 ° C t e m p e r a t u r e o n T h u r s d a y = 76 ° C$

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