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A secretary typed 10 letters, each of which had 1or 2 pages. If the se
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27 Aug 2024, 02:51
27 Aug 2024, 02:51
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A secretary typed 10 letters, each of which had 1or 2 pages. If the secretary typed 20 pages in all, how many of the letters had 2 pages?
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Re: A secretary typed 10 letters, each of which had 1or 2 pages. If the se
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10 Dec 2024, 13:55
10 Dec 2024, 13:55
Expert Reply
We know that a secretary typed 10 letters, each of which had 1 or 2 pages; we need to find the number of letters which had 2 pages if it is known that she typed 20 pages in all.
Let the number of 1 page letter \& the 2 page letters typed by the secretary be 'a' \& 'b' respectively.
We get $a+b=10&a+2b=20$, subtracting both the equations we get $a+2b−(a+b)=20−10$$=10$ which gives $b=10$
Hence the number of 2 page letters typed by the secretary was 10 .
Let the number of 1 page letter \& the 2 page letters typed by the secretary be 'a' \& 'b' respectively.
We get $a+b=10&a+2b=20$, subtracting both the equations we get $a+2b−(a+b)=20−10$$=10$ which gives $b=10$
Hence the number of 2 page letters typed by the secretary was 10 .
gmatclubot
Re: A secretary typed 10 letters, each of which had 1or 2 pages. If the se [#permalink]
10 Dec 2024, 13:55
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