please solve this question.. no irrelevant answer please…
the sum of three numbers, whose ratios ar
Question
please solve this question.. no irrelevant answer please…
the sum of three numbers, whose ratios are 3 \times \frac{1}{3} : 4 \times \frac{1}{5} : 6 \times \frac{1}{8} is 4917. find the numbers.
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Mathematics
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2021-07-08T05:28:58+00:00
2021-07-08T05:28:58+00:00 2 Answers
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Answer:
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Answer:
let the three numbers be x,y,z
sum of the three numbers
x+y+z = 4917
their ratios x:y:z = 3⅓ : 4⅕ : 6⅛
converting into improper fractions
x:y:z = 10/3 : 21/5 : 49/8
they all should have a common factor. let it be k
x = 10/3 k
y = 21/5 k
z = 49/8 k
substituting
10/3 k + 21/5 k + 49/8 k = 4917
400k + 504k + 735k / 120 = 4917
1639k / 120 = 4917
k = 3×120
k = 360
applying the values
x = 10/3 × 360
x = 1200
y = 21/5 × 360
y = 1512
z = 49/8 × 360
z = 2205
so the numbers are 1200, 1512, 2205