Answer to Question #304131 in Algebra for cwecwe

Question

sipho and litha are brothers . the sum of their ages is 29 . in 6 year's time sipho will be the same age as litha was 3 years ago

Answer 1

Let Sipho and Litha's present ages be x years and y years respectively.

We have that

$x+y=29$ -----------> (1)

$x+6=y-3$

$=>x-y=-9$ -----------> (2)

Adding equation (1) and (2) together, we have;

$2x=20$

$=> x = 10$

Put x=10 in equation (2)

$10-y=3$

$=> y=10-3=7$

Therefore, Sipho and Litha's present ages are 10years and 7years respectively.