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A grand father is ten times older than his grandson. He is then also 54 years older than him. What is the difference of their present ages?
- a)54 yeas
- b)45 years
- c)50 years
- d)52 years
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A grand father is ten times older than his grandson. He is then also 5...
Let the age of grand son be x years.
Grand father’s age = 10x.
⇒ 10x = 54 + x
⇒ 9x = 54
⇒ x = 6
Grand father’s age = 10 × 6 = 60 years
Difference of their present ages = 60 – 6 = 54.
Grand father’s age = 10x.
⇒ 10x = 54 + x
⇒ 9x = 54
⇒ x = 6
Grand father’s age = 10 × 6 = 60 years
Difference of their present ages = 60 – 6 = 54.
Most Upvoted Answer
A grand father is ten times older than his grandson. He is then also 5...
LET GRANDSONS AGE = X
GIVEN , 54 PLUS X = 10X
54 = 10X- X = 9X
X = 54 DIVIDED BY 9
= 6
GRANDSONS AGE = X = 6
GRANDFATHERS AGE = 10X = 60
THEREFORE , QUESTION IS WRONG
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Community Answer
A grand father is ten times older than his grandson. He is then also 5...
Solution:
Let's assume the present age of the grandson as x years.
Given that the grandfather is ten times older than the grandson, we can write the equation:
Grandfather's age = 10 * grandson's age = 10x
It is also given that the grandfather is 54 years older than the grandson, so we can write another equation:
Grandfather's age = grandson's age + 54
Setting these two equations equal to each other, we get:
10x = x + 54
Simplifying the equation, we have:
10x - x = 54
9x = 54
Dividing both sides of the equation by 9, we get:
x = 6
So, the present age of the grandson is 6 years.
Now, we can find the present age of the grandfather by substituting the value of x in any of the equations. Let's use the first equation:
Grandfather's age = 10 * 6 = 60 years
Therefore, the present age of the grandfather is 60 years.
The difference in their ages can be found by subtracting the grandson's age from the grandfather's age:
Difference in ages = 60 - 6 = 54 years
Hence, the correct answer is option A: 54 years.
Let's assume the present age of the grandson as x years.
Given that the grandfather is ten times older than the grandson, we can write the equation:
Grandfather's age = 10 * grandson's age = 10x
It is also given that the grandfather is 54 years older than the grandson, so we can write another equation:
Grandfather's age = grandson's age + 54
Setting these two equations equal to each other, we get:
10x = x + 54
Simplifying the equation, we have:
10x - x = 54
9x = 54
Dividing both sides of the equation by 9, we get:
x = 6
So, the present age of the grandson is 6 years.
Now, we can find the present age of the grandfather by substituting the value of x in any of the equations. Let's use the first equation:
Grandfather's age = 10 * 6 = 60 years
Therefore, the present age of the grandfather is 60 years.
The difference in their ages can be found by subtracting the grandson's age from the grandfather's age:
Difference in ages = 60 - 6 = 54 years
Hence, the correct answer is option A: 54 years.
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A grand father is ten times older than his grandson. He is then also 54 years older than him. What is the difference of their present ages?a)54 yeasb)45 yearsc)50 yearsd)52 yearsCorrect answer is option 'A'. Can you explain this answer?
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A grand father is ten times older than his grandson. He is then also 54 years older than him. What is the difference of their present ages?a)54 yeasb)45 yearsc)50 yearsd)52 yearsCorrect answer is option 'A'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A grand father is ten times older than his grandson. He is then also 54 years older than him. What is the difference of their present ages?a)54 yeasb)45 yearsc)50 yearsd)52 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A grand father is ten times older than his grandson. He is then also 54 years older than him. What is the difference of their present ages?a)54 yeasb)45 yearsc)50 yearsd)52 yearsCorrect answer is option 'A'. Can you explain this answer?.
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