Question

are Angela is 4 years younger than Genesis. Four years later, Genesis will be
twice as old as Angela​

Answer 1

Answer:

after-4 year angela is -8 year old

genesis will be-4 year old

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Answer 2

Given

Angela is 4 years younger than genesis

Four year later he will be twice the age of angela .

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\sf{\bold{\green{\underline{\underline{To\:Find}}}}}

ToFind

Present ages = ??

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\sf{\bold{\green{\underline{\underline{Solution}}}}}

Solution

let Anglea's age be x and genesis age be y

Acc to the 1st statment :-

x - 4 = y

⠀⠀⠀⠀

x - y = 4 ----- ( i )

⠀⠀⠀⠀

Acc to the 2nd statement :-

4 years later :-

⠀⠀⠀⠀

angela's age = x + 4

⠀⠀⠀⠀

genesis's age = y + 4

⠀⠀⠀⠀

x + 4 = 2 ( y + 4 )

⠀⠀⠀⠀

x + 4 = 2y - 8

⠀⠀⠀⠀

2y - x = 8 - 4

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2y - x = 4 ----- ( ii )

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adding eq i and ii

⠀⠀⠀⠀

x - y + 2y - x = 4 + 4

⠀⠀⠀⠀

y = 8

⠀⠀⠀⠀

putting value of y in eq ( i )

⠀⠀⠀⠀

x - y = 4

⠀⠀⠀⠀

x - 8 = 4

⠀⠀⠀⠀

x = 4 + 8

⠀⠀⠀⠀

x = 12

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\sf{\bold{\green{\underline{\underline{Answer}}}}}

Answer

Angela's age = x = 12 years

Genisis's age = y = 8 years