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Today Tom celebrates his 15th birthday, his father celebrates his 48th
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12 Apr 2023, 00:26
12 Apr 2023, 00:26
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Today Tom celebrates his 15th birthday, his father celebrates his 48th birthday. After how many years would Tom & his father celebrate their birthday such that their combined age will be 83 years?
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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: Today Tom celebrates his 15th birthday, his father celebrates his 48th
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17 Apr 2023, 00:25
17 Apr 2023, 00:25
1
Expert Reply
Let's denote the number of years after which Tom and his father will celebrate their birthdays with a combined age of 83 years as "x".
Tom's current age is 15 years, and his father's current age is 48 years. After "x" years, Tom's age would be 15 + x years, and his father's age would be 48 + x years.
According to the given condition, the combined age of Tom and his father after "x" years would be 83 years. So, we can write the equation as:
15 + x + 48 + x = 83
Combining like terms:
63 + 2x = 83
Subtracting 63 from both sides:
2x = 83 - 63
2x = 20
Dividing both sides by 2:
x = 20 / 2
x = 10
So, after 10 years, Tom and his father will celebrate their birthdays with a combined age of 83 years. Therefore, the correct answer is 10 years.
Tom's current age is 15 years, and his father's current age is 48 years. After "x" years, Tom's age would be 15 + x years, and his father's age would be 48 + x years.
According to the given condition, the combined age of Tom and his father after "x" years would be 83 years. So, we can write the equation as:
15 + x + 48 + x = 83
Combining like terms:
63 + 2x = 83
Subtracting 63 from both sides:
2x = 83 - 63
2x = 20
Dividing both sides by 2:
x = 20 / 2
x = 10
So, after 10 years, Tom and his father will celebrate their birthdays with a combined age of 83 years. Therefore, the correct answer is 10 years.
gmatclubot
Re: Today Tom celebrates his 15th birthday, his father celebrates his 48th [#permalink]
17 Apr 2023, 00:25
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