Question

the present ages of A and B are in the ratio of 4 is to 5 10 years ago their ages were in the ratio 3 is to 4 what are their present ages​

Answer 1

Answer:

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Answer 2

Answer:

A's present age=40

B's present age=50

Given:

A and B ages in ratio=4:5

10 years ago their ages were in ratio=3:4

To find:

Their present ages

Solution:-

Let A's and B's present age be 4x and 5x respectively

10 years ago

A's age=4x-10

B's age=5x-10

Now

According to the question

$\frac{4x - 10}{5x - 10} = \frac{3}{4}$

$4(4x - 10) = 3(5x - 10)$

$16x - 40 = 15x - 30$

$16x - 15x = - 30 + 40$

$x = 10$

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A's present age=4x

=4 ×10

=40

B's present age=5 ×10

=50

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A's and B's present age is 40 and 50 respectively