# Lawrence is twice as old as his friend jerome. jerome is 8 years older than pearl. in 8 years, lawrence will be three times as old as pearl. what would be the age of jerome, lawrence and pearl.?

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Rachel = x

Jerome = x + 8

Lawrence = 2(x+8) or 2x + 16

Ages in 8 years, future (present ages + 8)

Rachel = x + 8

Jerome = x + 8 + 8 or x + 16

Lawrence = 2x + 16 + 8 or 2x + 24

Equation: In 8 years, Lawrence will be 3 times as old as Pearl

2x + 24 = 3 (x + 8)

2x + 24 = 3x + 24

3x - 2x = 24-24

x = 0

Their ages at present:

Rachel: x = 0 (baby)

Jerome: x + 8 = 0 + 8 = 8 years old

Lawrence: 2x+16 = 2(0) + 16 = 16 years old

Future, in 8 years:

Rachel: 0 + 8 = 8 years old

Jerome: 8 + 8 = 16 years old

Lawrence: 16 + 8 = 24 years old