Mason had 16 fewer pencils than Liam. When Mason gave 2 pencils to Liam, she had twice as many pencils as Mason. How many pencils did Mason have at first?​

Paul Reilly

Paul Reilly

Answered question

2022-09-11

Mason had 16 fewer pencils than Liam. When Mason gave 2 pencils to Liam, she had twice as many pencils as Mason. How many pencils did Mason have at first?​

Answer & Explanation

Jovany Newman

Jovany Newman

Beginner2022-09-12Added 10 answers

Mason
It was x-16
It became x-16-2
Liam
It was x
It became x+2 and it is 2 times more than Mason
Write and solve the equation:
2(x - 18) = x + 2,
2x - 36 = x + 2,
2x - x = 2 + 36,
x = 38.
So, Liam had 38 pencils, and Mason had 38 - 16 = 22 (pen).

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