If Sarah is 24 years younger than her mother and if sum of their ages is 68, How old is Sarah?

Question

2469 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-13T13:52:04

22.

We can rewrite the question as these equations:

Mother's age: $x$ $x$

Sarah's age: $x - 24$ $x-24$

Both: $x + x - 24 = 68$ $x+x-24=68$

So: $2 x = 92$ $2x=92$

Therefore: $x = 46$ $x=46$ (Which is the Mother's age)

We then substitute $x$ $x$ back into Sarah's age: $46 - 24 = 22$ $46-24=22$