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Sum of squares of two numbers is 145. If square root of one number is 3, find the other number. 

  • a)
    136

  • b)
    9

  • c)
    64

  • d)
    8

Correct answer is option 'D'. Can you explain this answer?
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Problem:
The sum of squares of two numbers is 145. If the square root of one number is 3, find the other number.

Solution:

Let's assume the two numbers as x and y.

Given:
x^2 + y^2 = 145 ........(1)
√x = 3

Now let's solve the problem step by step:

Step 1: Find the value of x

We are given that the square root of x is 3. So, we can write it as:

√x = 3

Squaring both sides of the equation, we get:

(√x)^2 = 3^2
x = 9

Therefore, the value of x is 9.

Step 2: Substitute the value of x in equation (1)

Now that we have the value of x, we can substitute it in equation (1) and solve for y:

9^2 + y^2 = 145

81 + y^2 = 145

Subtracting 81 from both sides, we get:

y^2 = 64

Taking the square root of both sides, we get:

√y^2 = √64
y = 8

Therefore, the value of y is 8.

Step 3: Find the other number

We have found the values of x and y as 9 and 8 respectively. Now we need to find the other number, which is y.

So, the other number is 8.

Conclusion:
The other number is 8. Therefore, the correct answer is option D.
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Sum of squares of two numbers is 145. If square root of one number is 3, find the other number.a)136b)9c)64d)8Correct answer is option 'D'. Can you explain this answer?
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