148k views
0 votes
The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.

2 Answers

2 votes

Answer:

Naomi=x

Afful=2x

In 5 years time= +5

So Naomi=x+5

and and Afful=2x+5

=x+5+2x+5=34

=3x+10=34

Subtract 10 on both sides

3x=24

Divide 3 on both sides

X=8

Check:

X=8

Naomi=16

In 5 years

=16+5=21

Naomi=8+5=13

13+21=34

Hope this helps

Explanation:

User Ora
by
4.3k points
4 votes

Answer:

Afful is 21 and Naomi is 13.

Explanation:

Let
A represent the age of Afful and
N represent the age of Naomi.

The sum of their ages is 34. In other words:


A+N=34

In 5 years time, Afful will be two times the age of Naomi now. In other words:


A+5=2N

Solve for the system. Substitute.


A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21

Afful is currently 21 and Noami is currently 13.

User Jeverling
by
5.3k points