Question

Fran is three times as old as Nancy. In four years, she'll be twice as old as Nancy. How old is each now?

Answer 1

nancy is 4
frans is 12

Answer 2

• Fran is 12, Nancy is 4

Explanation:

Let Fran - f and Nancy - n

The ages at present:

• f = 3n

In four years:

• f + 4 = 2(n + 4)

Simplify and substitute f:

• f + 4 = 2n + 8
• f = 2n + 4
• 3n = 2n + 4
• n = 4

Find f:

• f = 3*4 = 12