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low temperature at the night in a city is 1/3 more than 1/2 hinge as higher temperature in a day. sum of the low temp and highest temp is 100C. then what is the low temperature
- a)40 C
- b)15 C
- c)20 C
- d)10 C
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
low temperature at the night in a city is 1/3 more than 1/2 hinge as h...
let x be the highest temp. then,
x+x/2+x/6=100.
therefore, x=60 which is the highest temp
and 100-x=40 which is the lowest temp.
Most Upvoted Answer
low temperature at the night in a city is 1/3 more than 1/2 hinge as h...
Given,
- Low temperature at night = (1/2) x Higher temperature in a day + (1/3) x (1/2) x Higher temperature in a day
- Sum of low temperature and highest temperature = 100C
To find: Low temperature
Let's assume the higher temperature in a day as 'x'
Then,
Low temperature at night = (1/2)x + (1/3) x (1/2) x x
= (1/2)x + (1/6)x
= (2/3)x
Sum of low and high temperature = Low temperature + Higher temperature = (2/3)x + x = (5/3)x
Given, sum of low and high temperature = 100C
Therefore, (5/3)x = 100C
=> x = (3/5) x 100C
=> x = 60C
Now, substituting the value of x in the equation for low temperature at night, we get
Low temperature at night = (2/3) x 60C
= 40C
Hence, the correct option is A) 40C.
- Low temperature at night = (1/2) x Higher temperature in a day + (1/3) x (1/2) x Higher temperature in a day
- Sum of low temperature and highest temperature = 100C
To find: Low temperature
Let's assume the higher temperature in a day as 'x'
Then,
Low temperature at night = (1/2)x + (1/3) x (1/2) x x
= (1/2)x + (1/6)x
= (2/3)x
Sum of low and high temperature = Low temperature + Higher temperature = (2/3)x + x = (5/3)x
Given, sum of low and high temperature = 100C
Therefore, (5/3)x = 100C
=> x = (3/5) x 100C
=> x = 60C
Now, substituting the value of x in the equation for low temperature at night, we get
Low temperature at night = (2/3) x 60C
= 40C
Hence, the correct option is A) 40C.
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