Q23. The sum of two consecutive odd integers is 56. Find the integers.
Q24. The temperature at 6pm in a town was 37°C. At midnight the temperature was 31ºC. If
the rise in temperature every hour is the same, find the rise in temperature per hour.
Q25. Priyanka bought 25 apples. She kept 13 apples with her and distributed the remaining
apples equally among her three friends. How many apples did each of her friends get?
Q26. Find an integer which when multiplied by 3 and then divided by 2 becomes (-18).
Q27. The product of two intègers is - 182. If one of the integers is 13, find the other integer.
Q28. By what number should -324 be divided to obtain -18?
029. Write down a pair of integers whose difference is -7.
230. Evaluate:
(i) -15 + (-23) - (-24) + (-17)
(ii) (-5) X (-13) X (-1) x 0x (-6)
Q31. Write 3 pairs of integers (a,b) such that a+b = -5
Q32. Find an integer which when multiplied by - 1 and divided by -9 results into reciprocal of
that integer
Q33. If the product of two consecutive positive odd integers is 255, what is the larger integer?
Q34. If the product of three consecutive positive integers is 504, what is the smallest integer?
Answers
Answer:
Sorry I didn't know this answer
Answer:
Step-by-step explanation:
Q 23) let one consecutive odd number be x
and let the other consecutive odd number be x+3
given sum of those 2 numbers= 56
i.e
x+x+2=56
2x=56-2
2x=54
x=54/2
x=27
Therefore, one consecutive odd number=x=27
and the other consecutive number= x+2= 27+2= 29
Q 24) Consider the provided information.
The temperature at 6:00 p.m. of a town was 37 degree Celsius at midnight the temperature was 31 degree Celsius.
The change in time is:
6 pm - 12 am = 6 hours
Changer in temperature is:
31°c - 37°c = -6°c
Decrease in temperature per hour = change in temperature/total time
Substitute the respective value in above.
decrease in temperature per hour = -6/6 = -1
Hence, the rise in temperature is -1°c per hour .
25) Total no.of apples = 25
No.of apples she kept with herself = 13
No.of apples remaining = 12
No.of friends = 3
No.of apples each friend got = 12/3 = 4.
26) let the no. be x
3x/2=-18
3x= -36
x=-12
27) let the first integer be x.
the second integer is 13.
x×13=-182
x= -182/13
x= -14
the other integer is -14.
28) x divided by -324 = -18
= x = -18 x -324
= x => 5832.
30)
i) -31
ii) -6
33) let one positive odd integer be x
so the other consecutive positive odd integer will be x + 2.
Since product two consecutive positive odd integers is 255
x(x+2) = 255
x²+ 2x - 255 = 0
x² + 17x - 15x - 255 = 0
x(x+17) - 15(x+17) = 0
(x - 15)(x+17) = 0
x = 15 or - 17.
But since the odd integer can be positive only, x = 15.
The other positive odd integer becomes 15 + 2 = 17.
The larger integer = 17.
34)
Let the first no. Be x
Second no. Be x+1
Third no. Be x+2
Sum of no.s = 504
x+x+1+x+2=504
3x+3=504
3x=501
x=501/3
x=167
smallest no. Is 167
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