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Omni-MATH / How many pairs of integers (a,b), with 1≤a≤b≤60, have the property that b is divisible by a and b+1 is divisible by a+1?

Problem

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problem

How many pairs of integers (a,b)(a, b), with 1≤a≤b≤601 \leq a \leq b \leq 60, have the property that bb is divisible by aa and b+1b+1 is divisible by a+1a+1?
Plain-text mathematical notation (without MathML)
How many pairs of integers (a,b), with 1≤a≤b≤60, have the property that b is divisible by a and b+1 is divisible by a+1?
Original LaTeX notation
How many pairs of integers $(a, b)$, with $1 \leq a \leq b \leq 60$, have the property that $b$ is divisible by $a$ and $b+1$ is divisible by $a+1$?

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Source and history

task_id
f62e7f59-f810-5917-ae35-ea01d9bac536
task_key
test--f62e7f59-f810-5917-ae35-ea01d9bac536
task_revision_id
1
config / split
/ test

Official source

initial import