Answer to Question #306998 in Algebra for Princess

Question

What is Sipho's age and Litha's age in 6 years

Answer 1

The question is incomplete..It is supposed to be as follows

Sipho and Litha are brothers. The sum of their ages is 29. In 6 years' time, Sipho will be the same age as Litha was 3 years ago. What is Sipho's age and Litha's age in 6 years?

Let X be the age of Sipho and Y to be the age of Litha

Therefore $X+Y=29$

In six years' time

$X+6=Y-3$

$Y=X+9$

Substitute in

$X+Y=29\\X+(X+9)=29\\$

$2X=20\\X=10\\ Y=29-10=19$

Therefore, their current years is;

$sipho=10years\\ litho=19 years$

In six years their age would be:

$sipho=10+ 6 =16 years\\ litho=19 +6 = 25 years$ [Answer]