Trang chủ Tiếng Anh Lớp 5 1. Jim’s present age is one fifth of his mother’s...

1. Jim’s present age is one fifth of his mother’s age. After 7 years, the ratio of their ages will become 1 : 3. How old is his mother now? Give your answer on

Câu hỏi :

1. Jim’s present age is one fifth of his mother’s age. After 7 years, the ratio of their ages will become 1 : 3. How old is his mother now? Give your answer only. 2. An is 1/3 as old as his aunt now. Ten years ago, the ratio of their ages was 1 : 7. How old is An now? Show your work 3. Van, William, and Fiona bought a flat for $180 000. Van paid $60 000, William paid $90 000 and Fiona paid the rest. Later, they sold the flat for $228 000. They decided to share the money in the same ratio that they bought the flat. How much money did each of them receive after selling the flat? Show your work.

Lời giải 1 :

1.  Answer: Jim's mother is 35 years old now.

2. We call An's age as $x$, his aunt's age as $y$.

An is 1/3 as old as his aunt now:

$x = \frac{1}{3}y$

Ten years ago, the ratio of their ages was 1:7:

$(x - 10) = \frac{1}{7}(y - 10)$:

Now we can substitute $x$ with $y$:

$\Rightarrow frac{1}{7}(y - 10) = \frac{1}{3}y - 10$

Now we can solve the equation normally:

$y - 10 = (\frac{1}{3}y - 10) . 7$

$y - 10 = \frac{7}{3}y - 70$

$y - \frac{7}{3}y = 10 - 70$

$\frac{3}{3}y - \frac{7}{3}y = -60$

$\frac{-4}{3}y = -60$

$y = -60 . \frac{-3}{4}$

$y = 45$(years old)

$x = \frac{1}{3}y = \frac{1}{3} . 45 = 15$(years old)

So An is 15 years old now.

3. The amount of money Fiona paid:

$180000 - 60000 = 90000 = 30000$

The ratio in which they bought the flat:

Van : Willian : Fiona = $60000 : 90000 : 30000 = 2 : 3 : 1$

The amount of money that Van received after selling the flat:

$228000 : (2 + 3 + 1) . 2 = 76000$.

The amount of money that William received after selling the flat:

$228000 : (2 + 3 + 1) . 3 = 114000$

The amount of money that Fiona received after selling the flat:

$228000 - 114000 - 76000 = 38000$

So Van, William and Fiona received 76000, 114000 and 38000 respectively.

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