what least number must be subtracted from each term of the ratio 3 is to 9 to make the ratio 3 is to 4
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Answer:
-15 should be subtracted
Explanation:
Let x to be subtracted.
➡ (3 - x ) / ( 9 - x ) = 3/4
➡ 4 ( 3 - x ) = 3 ( 9 - x )
➡ 12 - 4x = 27 - 3x
➡ 12 - 27 = -3x + 4x
➡ - 15 = x
Verification:
(3 - x ) / ( 9 - x ) = 3 : 4
Substitute -15 in place of x
➡ (3 - (-15) ) / ( 9 - (-15) ) = 3/4
➡ ( 3 + 15 )/ (9 + 15 ) = 3/4
➡ 18/24 = 3/4
➡ 3/4 = 3/4
LHS = RHS
hence, verified.
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