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