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The sum of two numbers is 24 and their product is 143. The sum of their squares is
- A296
- B295
- C290
- D228
Answer not set
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CCommunity
Formula to be used :
(a + b)2 = a2 + b2 + 2ab -------------1
Let the numbers be ‘a’ and ‘b’.
Given, sum of the numbers is 24
∴ a + b = 24
Also given, product of numbers is 143
∴ ab = 143
Substituting the above values in equation 1 we get
⇒ 242 = a2 + b2 + 2 × 143
⇒ 576 = a2 + b2 + 286
⇒ a2 + b2 = 290
(a + b)2 = a2 + b2 + 2ab -------------1
Let the numbers be ‘a’ and ‘b’.
Given, sum of the numbers is 24
∴ a + b = 24
Also given, product of numbers is 143
∴ ab = 143
Substituting the above values in equation 1 we get
⇒ 242 = a2 + b2 + 2 × 143
⇒ 576 = a2 + b2 + 286
⇒ a2 + b2 = 290