Sign Up

Have an account?

Sign In

Don't have account,

Forgot Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.


Have an account?

Sorry, you do not have permission to ask a question, You must login to ask a question.

Need An Account,

Please briefly explain why you feel this question should be reported.

Please briefly explain why you feel this answer should be reported.

Please briefly explain why you feel this user should be reported.

Search
Ask A Question
Home/age problem

Mains Answer Writing Latest Questions

Anonymous
  • 0
Anonymous
Asked: July 16, 2024In:
  • 0

Ratio of ages of A and B, 4 years later is 8:9 respectively. If average of present ages of A & B is 47 years, then find difference in present ages of A & B.

age problemmaths problemquestions
  1. SAMIRAN PAL
    SAMIRAN PAL Begginer

    Step 1: Define Variables Based on Ratio Let the present ages of A and B be AA and BB. Four years later, the ages of A and B will be A+4 and B + 4B+4, respectively. The given ratio 4 years later is 8:9. Let A + 4 = 8xA+4=8x and B+4=9x for some value xx. Step 2: Express Present Ages in Terms of xx  ARead more

    Step 1: Define Variables Based on Ratio

    • Let the present ages of A and B be AA and BB.
    • Four years later, the ages of A and B will be A+4 and B + 4B+4, respectively.
    • The given ratio 4 years later is 8:9.
    • Let A + 4 = 8xA+4=8x and B+4=9x for some value xx.

    Step 2: Express Present Ages in Terms of xx

    •  A = 8x – 4A=8x−4
    •  B=9x−4

    Step 3: Use Average Age Information

    • The average of the present ages of A and B is 47 years:

    A+B2=47\frac{A + B}{2} = 47 

    ⇒ A+B=94A + B = 94 

    Step 4: Substitute Present Ages into the Average Age Equation

    • Substitute A=8x−4 and  B=9x−4 into  A+B=94:
      •   (8x−4)+(9x−4)=94
        ⇒  17x−8=94
        ⇒  17x=102
        ⇒ x=6

    Step 5: Calculate Present Ages and Difference

    • Substitute x back to find present ages:
      • A=8x−4=8(6)−4=48−4=44
        B=9x−4=9(6)−4=54−4=50
      • The difference in present ages of A and B is:  B−A=50−44=6

    The difference in present ages of A and B is 6 years.

     

    .
    See less
Anonymous
  • 0
Anonymous
Asked: July 16, 2024In:
  • 0

Ratio of ages of A and B, 4 years later is 8:9 respectively. If average of present ages of A & B is 47 years, then find difference in present ages of A & B.

age problemaptitudemaths problemquestion
  1. ANOOP RAJESH MUNDAYOOR
    ANOOP RAJESH MUNDAYOOR Begginer
    This answer was edited.

    This is an aptitude based question.Let us assume that x is the age of A and y be the age of B.So four years later their age will become  x+4 and y+4.It is given that the ratio of x+4 and y+4 is  8:9.By this we get to know that the age of B is more than age of A. Let's  take m as the common variableRead more

    This is an aptitude based question.Let us assume that x is the age of A and y be the age of B.So four years later their age will become  x+4 and y+4.It is given that the ratio of x+4 and y+4 is  8:9.By this we get to know that the age of B is more than age of A. Let’s  take m as the common variable for the ratio.We need to take m because 8:9 might be formed by dividing into lowest term.But one thing that can be determined is that after four years age of A will be in multiple of 8 and age of B will be in multiple of 9

    x+4=8m and y+4=9m

    Subtracting 4 on both sides for both the equations

    we get x=8m-4 and y=9m-4.—–Eq.1

    Now we have been given that average of age of A and B is 47 years.So

    (x+y)/2=47

    Multiplying by 2 on both sides we can get

    x+y=94——-Eq.2

    Now we can substitute the values of x and y obtained in equation 1 into equation 2.

    So. 8m-4+9m-4=94

    Which gives 17m-8=94

    On adding 8 on both sides we get 17m=102

    So we get the value of m as 6 since 102/17=6.

    Substituting m in equation we can get value of x and y

    x=8m-4=8×6-4=48-4=44

    y=9m-4=9×6-4=54-4=50

    So we get the present age of A as 44 and B as 50.So the difference in their age is 50-44=6.Hence B is 6 years elder than A

    See less

Resources & Suggestions

Mains Answer Writing Latest Articles

On: April 18, 2025

Daily Answer Writing Practice Questions (18 April 2025)

Do you agree with the claim that indecision and risk aversion are prevalent issues in Indian bureaucracy? Support your answer with logical reasoning. (150 words) ऐसा कहा जाता है कि भारतीय नौकरशाही में अनिर्णय और जोखिम से बचने की प्रवृत्ति ...

On: April 18, 2025 Comments: 0

Strengthening India’s Cyber Defence

Rising Threats Digital Era Challenges: 2024 marks a significant rise in digital threats, particularly from AI and cyberattacks. Key Issues: Disinformation campaigns. Cyber fraud affecting daily life. Current Major Cyber Threats Ransomware Rampage: Over 48,000 instances of WannaCry ransomware detected ...

On: April 18, 2025 Comments: 0

भारत की साइबर सुरक्षा

बढ़ते खतरे कृत्रिम बुद्धिमत्ता (AI) और साइबर हमले: 2024 में AI और साइबर हमलों के खतरे में वृद्धि। महत्वपूर्ण अवसंरचना पर हमले: डिजिटल हमलों और दुष्प्रचार अभियानों की संभावना बढ़ी है। प्रमुख साइबर खतरें रैनसमवेयर का प्रकोप: 48,000 से अधिक ...

Explore Our Blog