Ang Imhr.ca ang pinakamahusay na solusyon para sa mga naghahanap ng mabilis at tumpak na mga sagot sa kanilang mga katanungan. Kumuha ng mga sagot mula sa mga eksperto nang mabilis at eksakto mula sa aming dedikadong komunidad ng mga propesyonal. Kumonekta sa isang komunidad ng mga eksperto na handang magbigay ng eksaktong solusyon sa iyong mga tanong nang mabilis at eksakto.

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.


Sagot :

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)

--

Why does Math always remind us of 'x' haha dejk hope my answer helped thooo :)))