iyinoluwaakanbi361 iyinoluwaakanbi361
  • 18-09-2022
  • Mathematics
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Five positive whole numbers add up to 47
One of the numbers is a multiple of 9
The other four numbers are equal.
Work out the result when the five numbers are multiplied.

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tomson1975
tomson1975 tomson1975
  • 18-09-2022

Greetings from Brasil...

According to the statement

A + B + C + D + E = 47

making B the multiple of 9

A + 9B + C + D + E = 47

as the other 4 numbers are the same, let's call it A

A + 9B + A + A + A = 47

4A + 9B = 47    assigning values to B, we have

B = 1 ⇒ A ∉ ℤ

B = 2 ⇒ A ∉ ℤ

B = 3 ⇒ A = 5

B = 4 ⇒ A ∉ ℤ

B = 5 ⇒ A ∉ ℤ

B = 6 → from now on, A will be negative

Then

A = 5 and B = 3

Multiplying all numbers:

A·9B·A·A·A = 9A⁴B = 9·5⁴·3 = 16875

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