Question 1178975
Emily’s age is half John’s age. Four years ago Emily was one-quarter
of John’s age in 4 years time. Find the age of each now.
<pre>Let Emily’s age be E
Since Emily is half John’s age, then John's is: 2E
Four years ago, Emily was E - 4
In 4 years' time. John will be 2E + 4
We then get: 2E + 4 = 4(E - 4)
2E + 4 = 4E - 16
2E - 4E = - 16 - 4
- 2E = - 20
Emily, or {{{highlight_green(matrix(1,6, E, "=", (- 20)/(- 2), "=", 10, years-old))}}}
Do you think you can now find John's age?