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Simple Equations Test - 10

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Simple Equations Test - 10
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  • Question 1
    1 / -0

    The teacher tells the class that the highest marks obtained by a student in her class is four times the lowest marks plus 6. The highest score is 65. Form the equation which will calculate the lowest marks. 

    Solution

    Let the lowest marks obtained by a student be m. According to question, 

    4m+6=65

     

  • Question 2
    1 / -0

    subtracted from 5/2 of a number results in 23. What is the number?

    Solution

      Let the number be x. ⇒5x/2−7=23⇒5x/2=23+7⇒x=30×2/5=12

     

  • Question 3
    1 / -0

    In a test match, Sachin scored twice as many runs as Sehwag. Together, their runs fell two short of a double century. How many runs did Sachin score? 

    Solution

    Let the number of runs scored by Sehwag be 'r'. According to the problem, the number of runs scored by Sachin = 2r Also  
    r+2r=(2×100−2)⇒                           r=66⇒
     Sachin's score 

     

  • Question 4
    1 / -0

    The sum of three consecutive integers is 75. Which is the largest among them?

    Solution

    Let the smallest integer be x−1 . Then the three consecutive integers are x−1, x and x+1.
    Their sum = 75
    ⇒(x−1)+x+(x+1)=75⇒x=25∴  The largest of the numbers 
    x+1=26

     

  • Question 5
    1 / -0

    Guru is 20 years older than his son. If the sum of their ages is 50 years, how old is his son

    Solution

    Let the age of the son be 'x' years. So the age of Guru is

    x+20

    years. Given sum of the ages of Guru and his son= 50 years

    ⇒ x+x+20=50 ⇒  2x=50−20⇒x=15

     

  • Question 6
    1 / -0

    If 0.2(2x−1)−0.5(3x−1)=0.4,what is the value of x'?

    Solution

    0.2(2x−1)−0.5(3x−1)=0.4⇒x=−1/11

     

  • Question 7
    1 / -0

    The sum of two-thirds of a number and one-fifth of the same number is 13. Find the number. 

    Solution

    Let the number be 'n?. Then 2n/3 +n/5=13⇒n=13×15/13=15

     

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