Question

The sum of the ages of three sisters Rhoda, Sally and Tabitha is 39 years. Sally is twice as old as

Tabitha and one and a half times as old as Rhoda. Determine their ages.
(3 mks)

Answer 1

The ages of the sisters are: Rhoda is 8 years old, Tabitha is 9 years old, and Sally is 22 years old.

Step-by-step explanation:

Let's define the ages of the sisters. Let Rhoda's age be x, Tabitha's age be y, and Sally's age be z.

Given that Sally is twice as old as Tabitha, we have z = 2y.

Also, Sally is one and a half times as old as Rhoda, so z = 1.5x.

Finally, the sum of their ages is 39, so we have the equation x + y + z = 39.

Substituting the given values, we can solve for the ages:

x + y + 1.5x = 39

2.5x + y = 39

Using trial and error, we find that x = 8, y = 9, and z = 22.

Therefore, Rhoda is 8 years old, Tabitha is 9 years old, and Sally is 22 years old.

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