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The ratio between the ages of A and his father is 1 : 7. The difference between their ages is 30 years. What would be the ratio of their ages 10 years later?
- a)9 : 33
- b)4 : 13
- c)3 : 1
- d)1 : 3
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The ratio between the ages of A and his father is 1 : 7. The differen...
Let the ages of A and his father be x and 7x respectively.
So, 7x - x = 30
x = 5 years
Present age of A = 5 years
Present age of A's father = 7 × 5 = 35 years
So, 10 years later, the ratio would be as follows.
(5 + 10) : (35 + 10)
= 15 : 45 = 1 : 3
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The ratio between the ages of A and his father is 1 : 7. The differen...
Given:
The ratio between the ages of A and his father is 1:7.
The difference between their ages is 30 years.
Let's assume the age of A is x years.
So, the age of his father will be 7x years.
To Find:
The ratio of their ages 10 years later.
Solution:
Step 1: Find the present ages of A and his father.
Given, the difference between their ages is 30 years.
So, we have the equation:
7x - x = 30
6x = 30
x = 5
Hence, the present age of A is 5 years.
And the present age of his father is 7 * 5 = 35 years.
Step 2: Find their ages 10 years later.
A's age after 10 years = 5 + 10 = 15 years.
Father's age after 10 years = 35 + 10 = 45 years.
Step 3: Find the ratio of their ages 10 years later.
The ratio of their ages 10 years later = A's age after 10 years : Father's age after 10 years
= 15 : 45
= 1 : 3
Therefore, the ratio of their ages 10 years later is 1:3.
Hence, the correct answer is option D) 1:3.
The ratio between the ages of A and his father is 1:7.
The difference between their ages is 30 years.
Let's assume the age of A is x years.
So, the age of his father will be 7x years.
To Find:
The ratio of their ages 10 years later.
Solution:
Step 1: Find the present ages of A and his father.
Given, the difference between their ages is 30 years.
So, we have the equation:
7x - x = 30
6x = 30
x = 5
Hence, the present age of A is 5 years.
And the present age of his father is 7 * 5 = 35 years.
Step 2: Find their ages 10 years later.
A's age after 10 years = 5 + 10 = 15 years.
Father's age after 10 years = 35 + 10 = 45 years.
Step 3: Find the ratio of their ages 10 years later.
The ratio of their ages 10 years later = A's age after 10 years : Father's age after 10 years
= 15 : 45
= 1 : 3
Therefore, the ratio of their ages 10 years later is 1:3.
Hence, the correct answer is option D) 1:3.
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The ratio between the ages of A and his father is 1 : 7. The difference between their ages is 30 years. What would be the ratio of their ages 10 years later?a)9 : 33b)4 : 13c)3 : 1d)1 : 3Correct answer is option 'D'. Can you explain this answer?
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