Distance covered by the 2nd
The distance between the two trains after 2 hours = (300 - 162
the second condition of the question.
EXERCISE 2.2
1. Find three consecutive even numbers whose sum is 66.
2. Find three consecutive odd numbers whose sum is 69.
2
2
3. of a number is 8 less than of the number. Find the number.
5
3
4. If 15 is added to four times a certain number, then the result obtained is
Find the number.
5. The sum of the digits of a two-digit number is 9. The new number o
exceeds the given number by 27. Find the given number.
1
6 If
of a number is 16 less than the original number than find +1
Answers
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3
Answer:
Solution :
Let the first odd number = x
Second odd number = x+2
And the third odd number = x+4
According to the condition,
x+x+2+x+4=63x+x+2+x+4=63
\Rightarrow3x+6=63⇒3x+6=63
⇒3x=63-6⇒3x=63−6
⇒3x=57⇒3x=57
⇒x=\frac{57}{3}⇒x=
3
57
⇒x=19⇒x=19
∴ First odd number = x = 19
Second odd number = x + 2 = 19 + 2 = 21
third odd number = x + 4 = 19 + 4 = 23
Hence, the three consecutive odd numbers are 19, 21 and 23.
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