Biff is 25 years older than Hannah today. Four years from now,Biff will be 6 times as old as Hannah will be. How old is Hannah t

Question

3 years ago

6

oday? Use algebra to solve.

1 answer:

gavmur [86] · Answer 1 · 2022-05-30T07:37:32+03:00

Hannah is 1 year old today.

Step-by-step explanation:

Let,

Hannah = x

Biff = y

According to given statement;

y = x+25 Eqn 1

In four years;

y+4 = 6(x+4) Eqn 2

Putting value of y from Eqn 1 in Eqn 2;

$(x+25)+4=6x+24\\x+25+4=6x+24\\x+29=6x+24\\29-24=6x-x\\5=5x\\5x=5$

Dividing both sides by 5

$\frac{5x}{5}=\frac{5}{5}\\x=1$

As x is age of Hannah, therefore,

Hannah is 1 year old today.

Keywords: linear equations, substitution method

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