Geraldine is 4 years younger than Tom. If Tom is t years old, how old is Geraldine? Also, if Steven is twice as old as Geraldine, how old is he?

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's establish equations for each of the individuals as displayed below:

Let Tom = t

Let Geraldine = g

Let Steven = s

Tom -

t = t

Geraldine -

g = t - 4

Steven -

s = 2g

s = 2 ( t - 4 )

s = 2t - 8

ANSWER:

As there is no further information given for this problem, our answer is:

Geraldine = t - 4 years old

Steven = 2t - 8 years old

Hope this helped! <3

Answer Link

Lanuel Lanuel · Answer 2 · 2021-11-19T11:29:58+01:00

I. Geraldine's age is equal to [tex]t-4\;years\;old[/tex]

II. Steven's age is equal to [tex]2t-8\;years\;old[/tex]

Let the age of Geraldine be G.

Let the age of Tom be T.

Let the age of Steven be S.

Given the following:

Tom's age = t years

Translating the word problem into an algebraic expression, we have;

For Geraldine:

[tex]G = T-4[/tex] ...equation 1.

For Steven:

[tex]S = 2G[/tex] ...equation 2.

To find the age of Geraldine:

Substituting Tom's age into eqn. 1, we have:

[tex]G = t-4 \; years[/tex]

To find the age of Steven:

[tex]S = 2(t-4)\\\\S=2t-8\; years[/tex]

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