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The sum of two positive integers is 34 and their difference is 8. Find their product.
- A308
- B273
- C209
- D345
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Discussion 1
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CCommunity
Let the two positive numbers be x and y
From the given data,
⇒ x + y = 34 - - - - equation (1)
⇒ x - y = 8 - - - equation (2)
By adding equation (1) and equation (2), we get
⇒ 2x = 42
⇒ x = 42/2 = 21
Substitute x = 21 in equation (1)
⇒ x + y = 34
⇒ 21 + y = 34
⇒ y = 34 – 21 = 13
∴ Their product = xy = 21 × 13 = 273
From the given data,
⇒ x + y = 34 - - - - equation (1)
⇒ x - y = 8 - - - equation (2)
By adding equation (1) and equation (2), we get
⇒ 2x = 42
⇒ x = 42/2 = 21
Substitute x = 21 in equation (1)
⇒ x + y = 34
⇒ 21 + y = 34
⇒ y = 34 – 21 = 13
∴ Their product = xy = 21 × 13 = 273