-11/24, when subtracted from a number, gives 23/72. Find the number.
please do working and explain... class 7
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Let the number = x
-11 23
---- - x = -----
24 72
23 (-11)
x = ----- + ------
72 24
The denominators are different so we should take LCM
LCM = 72
Multiply:-
-11 3 (-33)
---- × --- = ------
24 3 72
AND
23 1 23
---- × --- = -----
72 1 72
Now let us add,
23 (-33)
x = ----- + ------ =
72 72
23 + (-33)
= --------------
72
(negative×positive=negative)
[ (-) × (+) = (-) ]
= 23 - 33 = -10 = -5
----------- ----- ----
72 72 36
Hope it helps!!!
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