please help.
2 years ago, age of brother was 3 times less than sister's age. this year his age is just 2 times less than his sister's. how old is brother? how old is sister?​

Answers

Answer 1

Answer:

[tex]The\ brother's\ present\ age= 4\ years\\The\ sister's\ present\ age=8\ years[/tex]

Step-by-step explanation:

[tex]Let\ the\ brother's\ present\ age\ be\ x\\Hence\ we\ are\ given,\\His\ sister's\ present\ age=(2x)\\Now,\\The\ brother's\ age\ before\ two\ years=(x-2)\\The\ sister's\ age\ before\ two\ years=3(x-2)\\Also,\\His\ sisters\ age\ before\ two\ years=2x-2\\Hence,\\3(x-2)=2x-2\\3x-6=2x-2\\3x-2x=6-2\\x=4\\Hence,\\The\ brother's\ present\ age= 4\ years\\The\ sister's\ present\ age=2x=2*4=8\ years[/tex]

Answer 2

Answer:

The sister's present age is 8 years old, and the brother's present age is 4 years old.

Step-by-step explanation:

Let [tex]b =[/tex] present age of the brother, [tex]s =[/tex] present age of the sister

[tex]s-2 = (b-2)[/tex] × [tex]3[/tex]

[tex]s-2[/tex] = [tex]3b - 6[/tex]

[tex]s = 3b - 4[/tex]

[tex]s = b[/tex] × [tex]2[/tex]

[tex]= 2b[/tex]

[tex]sb-4 = 2b[/tex]  (proved from above equations)

[tex]b = 4[/tex]

[tex]\because s = 3b - 4[/tex]

[tex]\therefore[/tex][tex]s = 3[/tex]×[tex]4 - 4[/tex]

[tex]= 8[/tex]

[tex]\therefore[/tex] the brother's present age is 4 years old, and the sister's present age is 8 years old.

Hope this helps :)


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Answers

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Answers

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Answers

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Answers

Answer:

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Answers

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Answers

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