Question

Ratio between two numbers is 5 : 6 and sum of their squares is 549. The numbers are

(a) 10, 12
(b) 15, 18
(c) 20, 24
(d) 30, 36

Answer 1

Let the numbers be 5x and 6x.
Sum of squares = 549
⇒ (5x)² + (6x)² = 549
⇒ 25x² + 36x² = 549
⇒ 61x²= 549
⇒ x² = 549/61 = 9
⇒ x = 3
numbers are
5x = 5*3 = 15
6x = 6*3 = 18

Answer is b.

Answer 2

Answer:

Correct Option is (b)

1st number = 15

2 nd number = 18

Explanation:

Given:

Ratio. of two numbers is = 5 : 6

Sum of their squares= 549

Find:

These two numbers.

Step by step explanation

Let the both number is 5x and 6x

Sum of squares= 549

(5x)² + (6x)² = 549

25x² + 36x² = 549

61x²= 549

x²= 549/61= 9

x= 3

So ,

1st number we let is 5x

Then the 1st number is -

5*3 = 15

2nd number we let is 6x

Then the 2nd number is

6*3= 18

Final answer - Correct Option is (b)

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