Find The Value Of Xx.

Selina Solutions Grade 6 Mathematics Solutions for Exercise 12(A) in Chapter 12 - Proportion (Including Word Problems)

Question 2 Exercise 12(A)

Q2) Detect the value of 10 in each of the following proportions :

(i) ten : 4 = 6 : 8

(2) 14 : x = 7 : 9

(iii) four : half-dozen = x : 18

(four) 8 : x = x : 25

(v) 5 : 15 = 4 : x

(vi) 16 : 24 = half dozen : x

Answer:

Solution:

(i) ten : 4 = vi : viii

$\Rightarrow x\ \times8=iv\times6$

$\Rightarrow 10=\frac{4\times6}{eight}=3$

(two) xiv : 10 = 7 : 9

$\Rightarrow 10\times7=fourteen\times9$

$\Rightarrow x\ =\frac{14\times9}{seven}=18$

(three) 4 : vi = x : 18

$\Rightarrow6\times 10=4\times18$

$\Rightarrow\ ten=\frac{four\times18}{6}=12$

(4) 8 : x = x : 25

$\Rightarrow\ ten\times x=25\times8$

$\Rightarrow x=\frac{25\times8}{10}=20$

(5) 5 : 15 = 4 : x

$\Rightarrow\ 5\times x=15\times4$

$\Rightarrow x=\frac{xv\times4}{5}=12$

(vi) 16 : 24 = 6 : ten

$\Rightarrow\ xvi\times ten=24\times6$

$\Rightarrow\ x=\frac{24\times6}{16}=ix$

Video transcript

"Welcome to lido homework today. Nosotros're in question number two, which is find the value of Hullo guys, welcome the leader homework today. We're in question number two, which is discover the value of x in each of the following proposition. So the first one is X is 2 4 so and take it like this. So Ten upon 4 is equal to 6 upon 8. So your ex volition become 4 into 6 upon information technology so iv into 6 by 8. So so aye answer for X is 3. So the outset one nosotros establish it. Allow's become to the 2nd question. First on the value of ten is 3 in the second question. We have 14 past X is equal to seven upon 9. Therefore therefore Ten is equal to 9 into protein account 7. So this will be done. Right? Let's become to the third one is plenty. So x value in the 2nd one was xviii. So I am sure he understood how to do it now. So side by side one is for upon half-dozen is equal to X upon 18. Therefore Ten is equal to 10 is equal to 18 into for upon half-dozen, right? So this volition go you the value of 10 is equal to 12. Yep. Let's go into the next round. Okay. So the next thing is this black this is the adjacent ane is viii upon 10 is equal to x sub ane:25 again X is equal to 25 into eight upon due north so your respond will exist for the offset shine divided by ii. Then nosotros'll give yous food and 5 then by 5/5 say on to solve it meant so. Value of x enhance to n in this nation. Okay. Let's go along to the side by side i, which is V 1 and V 1 nosotros have to say it again. And then the 5th nosotros take v five by 15 is equal to iv by X therefore X is equal to 15 into iv by 5. So 15 into four by 5. Over again, yous'll exist divided by v. Then this will become 1 this will become 3 and 3 to 4 is 12. So this is the answer. Where is your value of x? Let'south motion on to the next i. The next one is 16 by 24 16 by 24 is equal to 6 a 1 ten therefore 10 is equal to six into 24. So 6 into 24 a point lx over again. We tin carve up past viii, then this volition become 2 and 6 cm 3 and then 2 1 and therefore your ex will come out to be nine. Then, this is a guys. If you have any more doubts, please allow me know in the comment section below and I'll go back to you. As soon every bit possible. Thank you so much. "

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