Question
Sum of squares of two numbers is 145. If the square root of one number is 3, find the other number.
- 136
- 9
- 64
- 8
Hint:
We will simplify the given conditions to find the value of the other number.
The correct answer is: 8
GIVEN-
For 2 numbers,
1. (First number)2 + (Second number)2 = 145
2. √(First number) = 3
TO FIND-
Value of Second number.
SOLUTION-
Now, we know that-
√(First number) = 3 ........................................... (Given)
∴ First number = 32 .......................................... (Squaring both the sides)
∴ First number = 9 ............................................ (Equation i)
Also,
(First number)2 + (Second number)2 = 145 ......... (Given)
∴ (9)2 + (Second number)2 = 145
∴ 81 + (Second number)2 = 145
∴ (Second number)2 = 145 - 81
∴ (Second number)2 = 64
∴ Second number = 8 ................ (Taking square root both the sides)
FINAL ANSWER-
Option 'b' i.e. '8' is the correct answer to the given question.
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