Question 1062746
.
When santy ad lorna were married, his age was 3/2 of her age. If on their golden wedding anniversary, 
Santy's age will be 8/7 of lorna's age, how old will each of them be on their golden anniversary.
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<pre>
S/L = 3/2,              (1)    ("When santy ad lorna were married, his age was 3/2 of her age")

{{{(S+50)/(L+50)}}} = {{{8/7}}}             (2)    ("If on their golden wedding anniversary, Santy's age will be 8/7 of lorna's age")

Rewrite equations (1) and 2) equivalently

2S = 3L,               (1')
7*(S+50) = 8*(L+50)    (2')

or

2S - 3L = 0,
7S + 350 = 8L + 400,

or

2S - 3L =  0,          (1'')
7S - 8L = 50.          (2'')

Now multiply (1'') by 7 and (2'') by 2 (both sides), then distract. You will get

-7*(3L) - (-8L)*2 = -2*50,   or

-5L = -100  --->  5L = 100  --->  L = {{{100/5}}} = 20.

Thus Lorna' present age is 20 years. Then Santy is {{{(3/2)*20}}} = 30 years old.
</pre>

<U>Answer</U>. &nbsp;In &nbsp;50 years Santy will be &nbsp;80 years old, &nbsp;Lorna will be &nbsp;70 years old.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Wish them to happily celebrate their golden anniversary.



There is a bunch of lessons on age word problems 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/age/Age-problems-and-their-solutions.lesson>Age problems and their solutions</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/age/Fresh-formulation-of-a-traditional-age-problem.lesson>A fresh formulation of a traditional age problem</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/age/Really-intricate-age-word-problem.lesson>Really intricate age word problem</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/age/Selected-age-word-problems-from-the-archive.lesson>Selected age word problems from the archive</A>

in this site.


Read them and become an expert in solving age problems.


Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Age word problems</U>".