A ratio obtained by adding 4 to the antecedent and subtracting 6 from the consequent, becomes equal to 1 , whereas subtracting 7 from the antecedent and adding 5 to the consequent the ratio becomes-3/8 find the antecedent and consequent?
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Answer:
x = 1 , y = 11
Step-by-step explanation:
Let the ratio be x : y =
then = 1
x + 4 = y - 6 [cross - multiply]
y = x + 10 (1)
then
-3y - 15 = 8x - 56 [cross - multiply]
8x + 3y = 41
putting (1) in the above equation :
8x + 3(x + 10) = 41
8x + 3x + 30 = 41
11x = 11
x = 1
y = x + 10
y = 1 + 10 = 11
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