Question #306998

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

1
Expert's answer
2022-03-07T17:25:02-0500

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=29X+Y=29

In six years' time

X+6=Y3X+6=Y-3

Y=X+9Y=X+9

Substitute in

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

2X=20X=10Y=2910=192X=20\\X=10\\ Y=29-10=19

Therefore, their current years is;

sipho=10yearslitho=19yearssipho=10years\\ litho=19 years


In six years their age would be:

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

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