It is a question from ML aggarwal, class 10th, chapter 7, ratio and proportion, Avichal publication
In this question we have a total sum and ratio in which we have to divide the sum.
Question 17
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Three numbers are in the ratio 1/2: 1/3: ¼. If the sum of their squares is 244, find the numbers
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Solution:
It is given that
Ratio of three numbers = 1/2: 1/3: 1/4
= (6: 4: 3)/ 12
= 6: 4: 3
Consider first number = 6x
Second number = 4x
Third number = 3x
So based on the condition
(6x)2 + (4x)2 + (3x)2 = 244
36x2 + 16x2 + 9x2 = 244
So we get
61x2 = 244
x2 = 244/61 = 4 = 22
x = 2
Here
First number = 6x = 6 × 2 = 12
Second number = 4x = 4 × 2 = 8
Third number = 3x = 3 × 2 = 6