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3 years ago

Jose is thinking of a number.

Mathematics

1 answer:

alexira [117]3 years ago

3 0

The number is 66.

Solution:

Let the number be x.

To find the number x using given conditions.

Start with the last condition.

It is less than 7 times 8 + 23 = 7 × 8 + 23 = 79

So, the number is less than 79 which implies x < 79.

Using condition (4),

It is greater than 5 times 4 = 5 × 4 = 20

So, the number is greater than 79 which implies x > 20.

Combining condition (4) and (7), we get 20 < x < 79.

Using condition (3) and (5),

The number is a multiple of 11 and 6.

The number which is multiplied by both 11 and 6 is 66, 132, ...

But here x lies between 20 < x < 79.

So x = 66.

66 is not odd number and the sum of the digits is divisible by 2.

Therefore condition (1) and (2) also satisfied.

Hence the number is 66.

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Amount of money Judy has in her account is $\$(7500+n)$ .

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Step-by-step explanation:

To find : Amount of money in Judy account and amount of money in Tommy account:

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