perplexus.info :: Numbers : Mrs. Arithmetic and Mrs. Algebra

Mrs. Arithmetic and Mrs. Algebra (Posted on 2022-07-05)

When asked about the ages of her three children, Mrs. Arithmetic replied to Mrs. Algebra in the following manner:

"The sum of the ages of my children is precisely 3 times that of Alec who is 3 years younger than Laura. The cube of Laura's age together with the square of Alec's age plus Karl's age make up a multiple of 100"

Determine the ages of the three children if Alec is still in his twenties.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Alec is 28, Laura is 31 and Karl is 25.
For an explanation, refer to:
The analytical solution submitted by broll in this location.
The computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: computer-aided solution	K Sengupta	2024-05-19 23:30:02
re: Possible Solution	K Sengupta	2024-05-19 23:29:33
No Subject	K Sengupta	2022-08-02 09:52:26
Possible Solution	broll	2022-07-05 21:39:55
solution	Larry	2022-07-05 19:05:59
computer-aided solution	Charlie	2022-07-05 13:11:05

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