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. Determine the current age of the two brothers. Let x be the age of Sipho.

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sonixsensation sonixsensation · Answer 1 · 2022-02-28T19:51:03+01:00

Answer:

Sipho is 10 years old.

Litha is 19 years old.

Step-by-step explanation:

We will use variables as their age.

x for Sipho

y for Litha

Here's what we know:

[tex]x + y= 29[/tex]

[tex]6 + x = y - 3[/tex]

Now we just need to isolate a variable in order to begin a system of equation.

[tex]6 + x = y - 3 \\ + 3 \\ 9 + x = y[/tex]

Now that we have y in terms of x we just need to plug in

[tex]x + y = 29 \\ x + (9 + x) = 29 \\ x + 9 + x = 29 \\ 2x + 9 = 29 \\ - 9 \\ 2x = 20 \\ \div 2 \\ x = 10[/tex]

Now that we know x we now must find y.

[tex]x + y = 29 \\ (10) + y = 29 \\ 10 + y = 29 \\ - 10 \\ y = 19[/tex]

We are done! Sipho is 10 years old and Litha is 19 years old.