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andrezito [222]
3 years ago
13

Paul is exactly 6yrs older than jane.the ratio of their ages is5:3.how old is paul

Mathematics
2 answers:
max2010maxim [7]3 years ago
7 0
<h3><u>Solution</u></h3>

<u>Given </u><u>:</u><u>-</u>

  • Paul is exactly 6yrs older than jane.
  • jane.the ratio of their ages is5:3

<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>

  • Age off paul.

<h3><u>E</u><u>x</u><u>p</u><u>l</u><u>a</u><u>n</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u></h3>

<u>Let,</u>

  • Age of paul = x years
  • Age of jane = y years

<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>to</u><u> question</u>

==> x = 6 + y

==> x - y = 6_____(1)

<u>And,</u>

==> x : y = 5:3

==> x/y = 5/3

==> 3x - 5y = 0______(2)

Multiply by 3 in equ(1)

==> 3x - 3y = 18_____(3)

<u>Subtract</u><u> </u><u>equ(</u><u>2</u><u>)</u><u> </u><u>&</u><u> </u><u>(</u><u>3</u><u>)</u>

==> -5y + 3y = -18

==> -2y = -18

==> y = 18/2

==> y = 9

<u>keep </u><u>in </u><u>equ(</u><u>2</u><u>)</u>

==> 3x - 5×9 = 0

==> 3x = 45

==> x = 45/3

==> x = 15

<h3><u>Hence</u></h3>

  • Age of paul = 15 year

<h2><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h2>
Sidana [21]3 years ago
6 0

Answer:

15

Step-by-step explanation:

Paul's age :  Jane´ s age

5                : 3

---------------------------

5-3 =2 (age difference)

2u-> 6

1u->3

5->15

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