# Arthur's father is 4 times as old as Arthur. After 5 years, the father is three times as old as Arthur. Find their present ages. How to represent both with one variable, and the working equation on it.

1
by reeceallenc

2015-08-18T19:38:51+08:00

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Arthur's father is 4 times as old as Arthur. After 5 years, the father is three times as old as Arthur. Find their present ages.

Representation: x = Arthur's age
4x = Father of Arthur's age

Now             Five years from now
Arthur                       x                          x + 5
Arthur's Father            4x                        4x + 5

Equation: 4x + 5 = 3(x + 5)

Solution: 4x + 5 = 3(x + 5)
4x + 5 = 3x + 15
x = 10; 4x = 40

Answer: Arthur is 10 years old while his father is 40 years old.

Check: 4x + 5 = 3(x + 5)
4(10) + 5 = 3(10 + 5)
40 + 5 = 30 + 15
45 = 45 (check - correct)

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Why does Math always remind us of 'x' haha dejk hope my answer helped thooo :)))
Thanks. <3
No prob :)))