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3 days ago

selma is now 3 times older than joyce . four years ago , selma was 4 times as old as joyce was then . find their present ages

Mathematics

1 answer:

tester [3.9K]3 days ago

8 0

Let Selma's current age be s

Let Joyce's current age be j

Selma is three times as old as Joyce now

s=3j........(1)

Four years prior,

s-4=j-4

This means

Selma was four times Joyce's age

s-4=4(j-4)

s-4=4j-16

s=4j-16+4

s=4j-12.............(2)

Now substitute s in (2) using (1)

3j=4j-12

3j-4j=-12

-j=-12

Multiply by -1 on both sides

j=12

Now substitute j into (1)

s=3j

s=3(12)

s=36

Selma's current age = s = 36 years old

Joyce's current age = j = 12 years old

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