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Acemy

Linear Equations in One Variable

SAT Math· difficulty 5/5

Aria is now 44 years older than Ben. In 77 years, the sum of their ages will be 4646. How old is Ben now?

  • A

    16

  • B

    18

  • C

    17

  • D

    14

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Explanation

Let Ben =b= b, Aria =b+4= b + 4. In 7 years: (b+7)+(b+11)=46(b + 7) + (b + 11) = 46, so 2b+18=462b + 18 = 46 and b=14b = 14.

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