Question

one half of jeans age two years from now plus one third of her age three years ago is twenty years. how old is she now?

Answer 1

x = present age

One half of her age two years from now:

( x + 2 ) / 2

One third of her age three years ago:

( x - 3 ) / 3


( x + 2 ) / 2 + ( x - 3 ) / 3 = 20 Multiply both sides by 2

2 * ( x + 2 ) / 2 + 2 * ( x - 3 ) / 3 = 20 * 2

( x + 2 ) + 2 * ( x - 3 ) / 3 = 40 Multiply both sides by 3

3 * ( x + 2 ) + 2 * 3 * ( x - 3 ) / 3 = 40 * 3

3 * ( x + 2 ) + 2 * ( x - 3 ) = 120

3 * x + 3 * 2 + 2 * x - 2 * 3 = 120

3x + 6 + 2 x - 6 = 120

5 x = 120 Divide both sides by 5

x = 120 / 5 = 24 yrs