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expeople1 [14]
3 years ago
7

Bill and susan have ages that are consecutive odd integers.The product of their ages 438.Which equation could be used to find bi

ll age b if he is the younger one
Mathematics
1 answer:
zhuklara [117]3 years ago
5 0

Answer:

4 x^{2} + 8 x - 435=0

Step-by-step explanation:

Let x be any natural number

Let the age of Bill= 2 x+ 1  years (Since age is odd integer)

Than, age of a Susan= 2 x + 3 years

Since ages are consecutive odd integers

According to question

(2 x+1)(2 x+ 3)= 438

4 x^{2} + 8 x + 3 = 438

4 x^{2} + 8 x + 3 - 438 =0

4 x^{2} + 8 x - 435=0

This equation can be used to find the ages of both

Hence, the correct answer is 4 x^{2} + 8 x - 435=0

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lora16 [44]
Let the first number of the five we are looking for equal n.

Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).

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expand all the brackets to give
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factorising this gives us
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That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].

Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.

You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).
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Step-by-step explanation:

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i hope this helps anyone and everyone

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