SOLUTION: Each letter in the word below represents a number less than 10. The values of the letters in each word are then multiplied together to give the result shown. Given that: BAT=9

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Question 935268: Each letter in the word below represents a number less than 10.
The values of the letters in each word are then multiplied together to give the result shown.
Given that:
BAT=90, LET=168. and. BET=105
What is he value of TABLE?


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

BAT=90 -> factors of 90 are 2%2A5%2A3%2A3; since we have three letters, we use factors 2%2A5%2A9
LET=168 -> factors of 168->three of them that make 168 are +8%2A3%2A7
BET=105 ->three of them that make 105 are 3%2A5%2A7

BAT=90 => factors are-> 2%2A5%2A9
BET=105 =>factors are 5%2A3%2A7
since we have letter B in BAT and BET -> common factor in these words is 5, so highlight%28B=5%29

a letter T is in all three BAT ,LET and BET
BAT=90 => factors are-> 2%2A5%2A9
LET=168-> factors are->8%2A3%2A7
BET=105 =>factors are 5%2A3%2A7
-> since 9=3%2A3 greatest divisor of 90 is 9, so, highlight%28T=9%29
since we have letter E in LET and BET
LET=168-> factors are->8%2A3%2A7
BET=105 =>factors are 5%2A3%2A7-> common factor in these words is 7, so highlight%28E=7%29

a letter A is BAT, since B=5 and T=9, letter A must be 2;so, highlight%28A=2%29

a letter L is LET, LET=168-> factors are->8%2A3%2A7
since E=7 and T=9, letter L must be 8;so, highlight%28L=8%29

so, the value of TABLE=9%2A2%2A5%2A8%2A7=highlight%285040%29