Question

Ralph is 3 times as old as Sarah. in six years, Ralph will be only twice as old is Sarah will be then. find Ralphs age now.

If X represents Sarah's age now, which of the following expressions represents Ralphs age in six years?

A: 2x
B: 6x
C: 2x+6
D: 3x+6

Answer 1

First, we start with the equation that the problem told us, which is:

R + 6 = 2 * (x + 6)

Then, we distribute the two:

R + 6 = 2x + 12

Now, we put R on its own side.

R = 2x +6

So, the answer must be C, 2x + 6

Answer 2

The expression for Ralph's age in 6 years is 3x +6

Present age of Ralph is 18 years.

Explanation:

Let the present age of Sarah's is x.

Hence, present age of Ralph is 3x

In 6 years, it has been given that Ralph will be only twice as old is Sarah will be then. Thus, we must add 6 to the present age of both.

Sarah's age is x+6

Ralphs's age is 3x+6

Hence, we have

3x+6 =2(x+6)

Solving the equation for x

3x + 6 = 2x +12

x = 6

Hence, Ralph's present age is

3x

= 3×6

= 18

The expression for Ralph's age in 6 years is 3x +6

Present age of Ralph is 18 years.