book Maths Puzzle Numerical Ability

One number is five times another number. If the sum of two numbers in 270, find the numbers

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book Other Question

Your father, who is 60, plans to retire in 2 years, and he expects to live independently for 3 years. He wants a retirement income that has, in the first year, the same purchasing The directions say to factor as completely as possible
(x-5)^3 -1

The answer is (x-6) (x^2 -9x +21)

I cannot figure out how to get this answer. Can you please show the steps?