Question

109. तीन संख्याओं के वर्गों का योग 532 है तथा प्रथम
एवं दूसरी संख्याओं का अनुपात वही है जो कि दूसरी
एवं तीसरी संख्याओं का
अनुपात है जो कि 3:2 है,
तो दूसरी संख्या है-
(A) 4
(C) 6
(D) 12
(B) 2​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The sum of the squares of the three numbers is 532 and the first and the ratio of other numbers is the same as the second and the third number. The ratio is 3: 2. So the second number is

(A) 4

(B) 2

(C) 6

(D) 12

EVALUATION

Here it is given that

First number : Second number

= 3 : 2

= 9 : 6

Second number : Third number

= 3 : 2

So

First number : Second number : Third number

= 9 : 6 : 4

Let

First number = 9x

Second number = 6x

Third number = 4x

By the given condition

$\sf{ {(9x)}^{2} + {(6x)}^{2} + {(4x)}^{2} = 532}$

$\sf{ \implies \: 81 {x}^{2} + 36 {x}^{2} + 16 {x}^{2} = 532}$

$\sf{ \implies \:133 {x}^{2} = 532}$

$\sf{ \implies {x}^{2} = 4}$

$\sf{ \implies \:x = 2}$

So the second number

= 6 × 2

= 12

FINAL ANSWER

Hence the correct option is (D) 12

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. If x/5 = y/3 then 3x + 5y / … fill in the blanks by choosing correct answer

https://brainly.in/question/39275501

2. if 7m + 4n = 3m + 2n then m/n = ?

https://brainly.in/question/39272649