A ratio in the simplest form 7:9 if its consequent 117 find the entecedent
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Answer:
Step-by-step explanation:
7x+9x=117
16x=117
x=117/16
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1
let the common multiple of ratio be x
we have 7x and 9x
sum of ratio = 117
from given info 7x + 9x = 117
16x = 117
x = 117/16
putting the value of x in above equation
we get 7x = 7×117/16 = 819/16
9x = 9x117/16 = 1053 /16
proof 7x + 9x = 117
819/16 + 1053/16 = 117
1872/16 = 117
117 = 117
hence proved
we have 7x and 9x
sum of ratio = 117
from given info 7x + 9x = 117
16x = 117
x = 117/16
putting the value of x in above equation
we get 7x = 7×117/16 = 819/16
9x = 9x117/16 = 1053 /16
proof 7x + 9x = 117
819/16 + 1053/16 = 117
1872/16 = 117
117 = 117
hence proved
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