Substitute numbers for the letters so that the following mathematical expressions are correct.
ZYX/3 = LQ, PQR/6 = LQ, JKL/9 = LQ
Note that the same number must be used for the same letter whenever it appears.
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Step-by-step explanation:
fdsdbffbbgfgvdeevvdwd1eyuu65rvfvbbnnmhfrwszcbfsqqee25yuujhbvvvvvbnhjjmmjghjmmmmyfddx
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Answered by
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Answer:
219/3 = 73
438/6 = 73
657/9 = 73
Method:
If any number LQ is multiplied by 9, right most digit of the product will be (10 - Q).
So, from JKL/9 = LQ,
we get, L = 10 - Q
LQ can be mathematically represented as
10L + Q = 10(10 - Q) + Q = 100 - 9Q
Since PQR/6 = LQ,
PQR = 6LQ = 6(100 - 9Q) = 600 - 54Q
We now try various values for Q such as 1, 2, 3, .... , etc, till the middle digit of the product turns out to be the same as the value of Q used. We get the correct answer for Q at the very third attempt, namely 3. Hence,
L= 10 - 3 = 7.
That is it.
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