A woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How old is the mother now?

Mathematics

2 answers:

mars1129 [50]3 years ago

4 0

Answer:

80 years

Step-by-step explanation:

Let daughter's age be x years.

Therefore, women's age = 10x years

8 years after:

Daughter's age = (x + 8) years

Women's age = 4(x + 8) years

$4(x + 8) = (x + 8) \\ 4x + 32 = x + 8 \\ 4x - x8 - 32 \\ 3x = - 24 \\ x = \frac{ - 24}{3} \\ x = - 8 \\ \because \: age \: of \: a \: person \: can \: not \: be \: negative \\ \therefore \: x = 8 \\ \therefore \: 10x = 10 \times 8 \\ \huge \red{ \boxed{\therefore \: 10x = 80 \: years}}$

jeka57 [31]3 years ago

3 0

Answer:

Mom is 40 and her daughter is 4; in eight years, mom will be 48 and her daughter will be 12.

Step-by-step explanation:

You might be interested in

Larry watched one television program for 1/3 of an hour and then watched another program for 15 min. For what fraction of an hou

forsale [732]

The answer is 7/12 of an hour

8 0

3 years ago

Read 2 more answers

Which is greater 7/9 or 85/100. Please help

Alika [10]

$\frac{7}{9} \ \ or \ \ \frac{85}{100} \\ \\ \frac{7}{9} \ \ or \ \ \frac{17}{20} \\ \\\frac{7\cdot 20}{180} \ \ or \ \ \frac{17\cdot 9}{180}\\ \\\frac{140}{180} \ \ < \ \ \frac{153}{180} \\ \\ Answer : \ \frac{7}{9} \ \ < \ \ \frac{85}{100}$

4 0

3 years ago

Read 2 more answers

A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. There were 3 geese in

lapo4ka [179]

First generation: 3

Second generation: $3\times2.2$

Third generation: $3\times2.2\times2.2=3\times2.2^2$

Fourth generation: $3\times2.2\times2.2\times2.2=3\times2.2^3$

And so on. The general formula for the $n$ th generation is $3\times2.2^{n-1}$ . So by the 15th generation, you should expect around $3\times2.2^{15-1}\approx186655$ geese.