What should be subtracted from 19 28 55 91 so the numbers are in same proportion?
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Correct Answer - Option 3 : 28 Show
Given: When x is subtracted from each of 19, 28, 55, 91, obtained numbers are in proportion. Concept used: by componendo and dividendo (a/b) = (x/y) ⇒ {(a + b)/(a - b)} = {(x + y)/(x - y)} The mean proportion of x and y is √xy Solution: Given numbers are 19, 28, 55, 91 Accordingly, (19 - x), (28 - x), (55 - x) and (91 - x) are propertional ⇒ {(19 - x)/(28 - x)} = {(55 - x)/(91 - x) Appling Componendo-Dividendo method get, {(47 - 2x)/(- 9)} = {(146 - 2x)/(- 36)} ⇒ 188 - 8x = 146 - 2x ⇒ 6x = 42 ⇒ x = 7 ⇒ mean proportional = √{7 + 9) × 72} = 28 ∴ Required mean proportion is 28.
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0 6.6 K 2:33 When x is subtracted from each of 19, 28, 55 and 91, the numbers so obtained in this order are in proportion . What is the mean proportion between (x + 9) and `x^2`? जब x को 19, 28, 55 और 91 में से घटाया जाता है, तो इस क्रम में प्राप्त संख्याएँ अनुपात में होती हैं। (x + 9) और `x^2` के बीच माध्य अनुपात क्या है? 643500442 0 8.0 K 1:13 What must be subtracted from `-1` to get `-19` ? 283260255 0 3.4 K 3:47 What number must be subtracted from each of the numbers 10, 12, 19, 24 to get the numbers which are in proportion ? 648114061 0 5.0 K 21, 38, 55, 106 प्रत्येक में से क्या घटाया जाए कि नई संख्याएँ समानुपाती हों? Show More Comments Add a public comment... Follow Us: Popular Chapters by Class: Class 6 AlgebraBasic Geometrical IdeasData HandlingDecimalsFractions Class 7 Algebraic ExpressionsComparing QuantitiesCongruence of TrianglesData HandlingExponents and Powers Class 8 Algebraic Expressions and IdentitiesComparing QuantitiesCubes and Cube RootsData HandlingDirect and Inverse Proportions Class 9 Areas of Parallelograms and TrianglesCirclesCoordinate GeometryHerons FormulaIntroduction to Euclids Geometry Class 10 Areas Related to CirclesArithmetic ProgressionsCirclesCoordinate GeometryIntroduction to Trigonometry Class 11 Binomial TheoremComplex Numbers and Quadratic EquationsConic SectionsIntroduction to Three Dimensional GeometryLimits and Derivatives Class 12 Application of DerivativesApplication of IntegralsContinuity and DifferentiabilityDeterminantsDifferential Equations Privacy PolicyTerms And Conditions Disclosure PolicyContact Us What should be subtracted so that 19/28 55 91 are in proportion?When x is subtracted from each of 19, 28, 55, 91, obtained numbers are in proportion. ∴ Required mean proportion is 28.
What number is subtracted from each 21 38 55 and 106 that the new numbers are in the proportional?What integers divided into 21, 38, 55 & 106 all have the same remainders? What is the remainder when dividing all four integers by 17. So we need to subtract 4 from all four integers to make them all proportional by integers.
What number should be subtracted from each of the number 54 7175 and 99 so that the reminder may be proportional?Assume that x be number subtracted from each of the numbers 54, 71, 75 and 99 so that their remainders will be a proportion. ∴ 54 - x , 71 - x , 75 - x , and 99 - x are in proportion. ∴ When x = 3 subtracted from each of the numbers so that the remainders will be a proportion.
Which number should be subtracted from 13 25 and 55 so that resultant numbers are in continued proportion?Hence, 5 needs to be subtracted from 13,25,55 such that they are in continued proportion.
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