Q1. The sum of two consecutive even numbers is 38. Find the numbers.
Q2. The sum of three consecutive odd numbers is 51. Find the numbers.
Q3. In a class of 42 students, the number of boys is 2/5 of the girls. Find The number of boys and girls in the class.
Q4. What should be added to twice the number -7/3 to get 3/7
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Answers
Answer:
1. let one number is x and other x+2
x+x+2 = 38
2x = 36
x = 18
x+2=20
So, one number is 18 and other number is 20
2. let numbers are x-1, x+1, x+3
x-1 + x+1 + x+3 = 51
3x+3=51
3x = 48
x = 16
Numbers are 15 ,17 ,19
3. let number of girls is x and number of boys is 2/5 of x
2/5x + x =42
2x+5x/5 = 42
7x = 210
x = 30
2/5x=12
Number of girls is 30 and number of boys 12
Let the first number be x.
Then, second number = x + 2.
ATQ,
Hence, the first number is 18 and the second number is (18 + 2) = 20.
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Let the first number be x.
Then, second number = x + 2 and third number = x + 4.
ATQ,
Hence, the first number is 15, the second number is (15 + 2) = 17 and the third number is (15 + 4) = 19.
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Let the number of girls be x.
Then, number of boys =
ATQ,
Hence, the number of girls is 30 and the number of boys is = 12.
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Twice of -7/3 is (-7/3 × 2) = -14/3.
Now, let the required number be x.
ATQ,
Hence, the required number is -89/21.