Which number must be added to each of the numbers 7 and 13?
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Let the number added be x. Show
∴ (6 + x) : (15 + x) :: (20 + x) (43 + x) `=> (6+x)/(15 + x) = (20 + x)/(43 + x)` ⇒ (6 + x)(43 + x) (20 + x)(15 + x) `=> 258 + 6x + 43x + x^2 = 300 + 20x + 15x + x^2` `=> 49x - 35x = 300 - 258` `=> 14x = 42` `=> x = 3` Thus, the required number which should be added is 3. ML Aggarwal Solutions Class 10 Mathematics Solutions for Ratio and Proportion Exercise 7.2 in Chapter 7 - Ratio and ProportionQuestion 10 Ratio and Proportion Exercise 7.2 What number must be added to each of the numbers 16, 26, and 40 so that the resulting numbers may be in continued proportion? Answer: Consider x be added to each number 16 + x , 26 + x and 40 + x are in continued proportion It can be written as (16 + x)/ (26 + x) = (26 + x)/ (40 + x) By cross multiplication (16 + x) (40 + x) = (26 + x) (26 + x) On further calculation \begin{array}{l} 640+16 x+40 x+x^{2}=676+26 x+26 x+x^{2} \\ 640+56 x+x^{2}=676+52 x+x^{2} \\ 56 x+x^{2}-52 x-x^{2}=676-640 \end{array} So we get 4x = 36 x = 36/4 = 9 Hence, 9 is the number to be added to each of the numbers. Was This helpful?
 What number must be added to each of the numbers 10,18,22,38 to make them in proportion? Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Solution The correct option is C (2)Given numbers: 10,18,22,38Let the number be x.⇒10+x:18+x=22+x:38+x⇒(10+x)(38+x)=(18+x)(22+x)380+10x+38x+x2=396+18x+22x+x248x−40x=396−3808x=16∴x=2What must be added to each term 7 13?So, 5 must be added to each term of the ratio 7:13, so that the ratio becomes 2:3.
What same number must be added to each of the terms 7 and 13 so that the resultant ratio is 2 3?Answer: The number that should be added to each term of 7:13 to make it 2:3 is 5.
What number should be added to each of the numbers 8/21/13 and 31 so that the resulting numbers form a proportion?∴ The number that should be added is 2. SSC CHSL Additional Result announced on 2nd September 2022.
What number must be added to each of the numbers 8/13 26 and 40 so that the numbers obtained in this order are in proportion?∴ The number that should be added is 2.
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