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3 years ago

Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 33 times as old as Daniel.

Mathematics

2 answers:

irga5000 [103]3 years ago

5 0

Answer:

Ben is 33 years old

Step-by-step explanation:

Let Ben’s age = B

Let Daniel’s age = x

B = x + 20 (20 years older than Daniel)

Their ages 3 years ago:

B = 3x (also given in problem)

B = x + 20 (given in problem)

x + 20 = 3x (Since both equations are equal to B, set them equal to each other)

20 = 2x (simplify)

x = 10

B = 10 + 20 = 30

Their ages now:

Add 3 to their "ages three years ago"

New x = Daniel’s age = old age + 3 = 10 + 3 = 13 years old

B = Ben’s age = old age + 3 = 30 + 3 = 33 years old

tatuchka [14]3 years ago

3 0

Answer: 33

Step-by-step explanation:

Today 3 years ago

Ben: x + 20 (x + 20) - 3

Dan: x x - 3

3 years ago, Ben was 3 times as old as Daniel

⇒ (x + 20) - 3 = 3(x - 3)

x + 17 = 3x - 9

17 = 2x - 9

26 = 2x

13 = x

Today, Ben = x + 20

= 13 + 20

= 33

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Step-by-step explanation:

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