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The ratio between the present ages of A and B is 4:5. If the difference between their present ages is 8 yrs, what is the sum of their present ages?
- a)32 yrs
- b)40 yrs
- c)68 yrs
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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The ratio between the present ages of A and B is 4:5. If the differenc...
The ratio between the present ages of A and B is 4:5.
A/B = 4/5 ⇒ 5A = 4B ⇒ 5A - 4B = 0 .....(1)
If the difference between their present ages is 8 yrs
A - B = 8 .....(2)
multiplying 5 both sides in equation(2)
⇒ 5(A - B) = 40
⇒ 5A - 5B = 40
Subtracting equation (1) from equation (2) we get
B = 40
5A = 4B
⇒ 5A = 4 x 40 = 160
⇒ A = 160/5 = 32
Sum of present ages = 40 + 32 = 72
A/B = 4/5 ⇒ 5A = 4B ⇒ 5A - 4B = 0 .....(1)
If the difference between their present ages is 8 yrs
A - B = 8 .....(2)
multiplying 5 both sides in equation(2)
⇒ 5(A - B) = 40
⇒ 5A - 5B = 40
Subtracting equation (1) from equation (2) we get
B = 40
5A = 4B
⇒ 5A = 4 x 40 = 160
⇒ A = 160/5 = 32
Sum of present ages = 40 + 32 = 72
Most Upvoted Answer
The ratio between the present ages of A and B is 4:5. If the differenc...
Given that the ratio between the present ages of A and B is 4:5, and the difference between their present ages is 8 years. We need to find the sum of their present ages.
Let's assume the present age of A as 4x and the present age of B as 5x.
According to the given information, the difference between their present ages is 8 years. So, we can set up the equation:
5x - 4x = 8
Simplifying the equation, we get:
x = 8
Now, to find the present ages of A and B, we substitute the value of x back into the equation:
Present age of A = 4x = 4(8) = 32 years
Present age of B = 5x = 5(8) = 40 years
Therefore, the sum of their present ages is:
32 + 40 = 72 years
Hence, the correct answer is option 'D' (None of these), as the sum of their present ages is 72 years.
Let's assume the present age of A as 4x and the present age of B as 5x.
According to the given information, the difference between their present ages is 8 years. So, we can set up the equation:
5x - 4x = 8
Simplifying the equation, we get:
x = 8
Now, to find the present ages of A and B, we substitute the value of x back into the equation:
Present age of A = 4x = 4(8) = 32 years
Present age of B = 5x = 5(8) = 40 years
Therefore, the sum of their present ages is:
32 + 40 = 72 years
Hence, the correct answer is option 'D' (None of these), as the sum of their present ages is 72 years.
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The ratio between the present ages of A and B is 4:5. If the difference between their present ages is 8 yrs, what is the sum of their present ages?a)32 yrsb)40 yrsc)68 yrsd)None of theseCorrect answer is option 'D'. Can you explain this answer?
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