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Gene is 7 years older than Roberta. 6 years ago, Gene was tw
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02 Nov 2019, 02:42
02 Nov 2019, 02:42
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Question Stats:
94% (01:02) correct
5% (00:54) wrong based on 19 sessions
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Gene is 7 years older than Roberta. 6 years ago, Gene was twice as old as Roberta. What is Roberta’s current age?
Show: :: OA
13
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Re: Gene is 7 years older than Roberta. 6 years ago, Gene was tw
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02 Nov 2019, 05:37
02 Nov 2019, 05:37
1
huda wrote:
Gene is 7 years older than Roberta. 6 years ago, Gene was twice as old as Roberta. What is Roberta’s current age?
Show: :: OA
13
Gene is 7 years older than Roberta.
Let x = Roberta's PRESENT age
So, x + 7 = Gene's PRESENT age
6 years ago, Gene was twice as old as Roberta
Given their PRESENT ages (above) we can conclude that....
x - 6 = Roberta's age SIX YEARS AGO
So, x + 7 - 6 = Gene's age SIX YEARS AGO
Simplify: x + 1 = Gene's age SIX YEARS AGO
If Gene age was TWICE Roberta's age, we can write: x + 1 = 2(x - 6)
Expand: x + 1 = 2x - 12
Add 12 to both sides: x + 13 = 2x
Subtract x from both sides: 13 = x
What is Roberta’s current age?
x = Roberta's PRESENT age
So, Roberta's PRESENT age = 13
Answer: 13
Cheers,
Brent
Re: Gene is 7 years older than Roberta. 6 years ago, Gene was tw
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11 Feb 2020, 23:06
11 Feb 2020, 23:06
huda wrote:
Gene is 7 years older than Roberta. 6 years ago, Gene was twice as old as Roberta. What is Roberta’s current age?
Show: :: OA
13
Important Rules to solve this type of Words problems:
# Jane bought twice as many apples as banana. More apple than banana. Say, she buys 5 banana. She buys twice as many apples ----that's 10 apples. Make sense. A = 2B.
Now see above
@GreenlightTestPrep Explanation, Cheers!!!!
