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If 80% of my age 6 years ago is the same as 60% of my age after 10 years. What is the product of digits of my present age?
- a)24
- b)20
- c)30
- d)15
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If 80% of my age 6 years ago is the same as 60% of my age after 10 yea...
Let the present age be x
⇒ Six years ago my age will be = (x - 6)
⇒ Age after 10 years = (x + 10)
According to the question
⇒ 80% of (x – 6) = 60% of (x + 10)
⇒ 4x – 24 = 3x + 30
⇒ x = 54
∴ Product of digits = 5 × 4 = 20
Most Upvoted Answer
If 80% of my age 6 years ago is the same as 60% of my age after 10 yea...
Let's assume the present age as 'x'.
Given that 80% of the age 6 years ago is the same as 60% of the age after 10 years, we can write the equation as:
0.8(x - 6) = 0.6(x + 10)
Simplifying this equation:
0.8x - 4.8 = 0.6x + 6
Subtracting 0.6x from both sides:
0.2x - 4.8 = 6
Adding 4.8 to both sides:
0.2x = 10.8
Dividing both sides by 0.2:
x = 54
Therefore, the present age is 54.
To find the product of the digits of the present age, we can multiply the digits together:
Product = 5 * 4 = 20
Hence, the product of the digits of the present age is 20, which corresponds to option B.
Given that 80% of the age 6 years ago is the same as 60% of the age after 10 years, we can write the equation as:
0.8(x - 6) = 0.6(x + 10)
Simplifying this equation:
0.8x - 4.8 = 0.6x + 6
Subtracting 0.6x from both sides:
0.2x - 4.8 = 6
Adding 4.8 to both sides:
0.2x = 10.8
Dividing both sides by 0.2:
x = 54
Therefore, the present age is 54.
To find the product of the digits of the present age, we can multiply the digits together:
Product = 5 * 4 = 20
Hence, the product of the digits of the present age is 20, which corresponds to option B.
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Community Answer
If 80% of my age 6 years ago is the same as 60% of my age after 10 yea...
Let the present age be x
⇒ Six years ago my age will be = (x - 6)
⇒ Age after 10 years = (x + 10)
According to the question
⇒ 80% of (x – 6) = 60% of (x + 10)
⇒ 4x – 24 = 3x + 30
⇒ x = 54
∴ Product of digits = 5 × 4 = 20
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