Sarah is 4 times as old as her niece now. in 8 years, she will be twice as old as her niece then. how old is each now?

2
by marmaduke

Answers

2015-09-01T18:49:38+08:00
Sarah is now 24 years old and her niece is 12 years old. 8 years ago Sarah was 16 years old and her niece was 4 years old
how will i put this in equation?
In 8 years means in fututre :-)
• Brainly User
2015-09-02T01:16:56+08:00

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Present:   Niece's age = x
Sarah's age = 4x

In 8 years (+8) :  Niece's age = x + 8
Sarah's age = 2 (x+8)

Equation:
4x = 2 (x+8)
Solution:
4x = 2 (x+8)
4x = 2x + 16
4x - 2x = 16
2x = 16
2x  = 16
2       2
x  = 8

Substitute 8 for x:
Present Ages:  Niece's age = x
= 8 years old

Sarah's age = 4x
= 4 (8)
= 24 years old
FINAL ANSWER:  Present age:  Niece is  8 years old and Sarah is 24 years old

TO Check their ages in 8 years:
Niece's age = x + 8
= 8 + 8
= 16 years old in 8 years (future)

Sarah's age is twice her niece's age in 8 years (future)
= 2 (x + 8)
= 2 (8 + 8)
= 2 (16)
= 32 years old