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Krish is 5 years younger than Parthiv. Eight years ago, three times the age of Krish was 10 more than twice the age of Parthiv. Find Krish’s present age.
- a)30 years
- b)32 years
- c)28 years
- d)33 years
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Krish is 5 years younger than Parthiv. Eight years ago, three times th...
Krish is 5 years younger than Parthiv,
⇒ K + 5 = P
⇒ K + 5 = P
Eight years ago, three times the age of Krish was 10 more than twice the age of Parthiv,
⇒ 3(K – 8) = 2(P – 8) + 10
⇒ 3K – 24 = 2P – 16 + 10
⇒ 3K – 2P = 18
⇒ 3K – 2(K + 5) = 18
⇒ K = 28
∴ Krish's present age is 28 years.
⇒ 3(K – 8) = 2(P – 8) + 10
⇒ 3K – 24 = 2P – 16 + 10
⇒ 3K – 2P = 18
⇒ 3K – 2(K + 5) = 18
⇒ K = 28
∴ Krish's present age is 28 years.
Most Upvoted Answer
Krish is 5 years younger than Parthiv. Eight years ago, three times th...
Given Information:
Krish is 5 years younger than Parthiv.
Eight years ago, three times the age of Krish was 10 more than twice the age of Parthiv.
Let's solve the problem step by step:
Step 1: Assign Variables
Let's assume the present age of Parthiv be P years.
Therefore, Krish's present age would be P - 5 years.
Step 2: Translate the Second Statement into an Equation
According to the second statement,
3*(Krish's age 8 years ago) = 10 + 2*(Parthiv's age 8 years ago)
3*(P-5-8) = 10 + 2*(P-8)
Step 3: Simplify the Equation
3*(P-13) = 10 + 2P - 16
3P - 39 = 10 + 2P - 16
3P - 39 = 2P - 6
P = 33
Step 4: Find Krish's Present Age
Krish's present age = P - 5
Krish's present age = 33 - 5
Krish's present age = 28 years
Therefore, Krish's present age is 28 years, which corresponds to option c).
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Krish is 5 years younger than Parthiv. Eight years ago, three times the age of Krish was 10 more than twice the age of Parthiv. Find Krish’s present age.a)30 yearsb)32 yearsc)28 yearsd)33 yearsCorrect answer is option 'C'. Can you explain this answer?
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