Page 19 - NUMINO Challenge_B1
P. 19
2 Alphametics
Basic Concepts Addition Alphametics
The use of letters or symbols to replace digits or an entire number in an
arithmetic equation is called alphametics. In alphametics, each letter
represents a different digit, and the leftmost letter or symbol cannot be 0.
When solving an addition alphametics problem, start by finding the
greatest digit. In the following 2-digit addition problem, the number in the
hundreds place, , is always 1, and can either be 1 or 2.
1
1 or 2
Example Find the values of A, B, and C in the following addition problem.
AA
AB
CA
AAA
Class Notes
A in the hundreds place is the sum of three numbers in the tens place. AA
AB
A can either be or . CA
AAA
When A is 1 or 2, the sum of A, A, and C in the
11
tens place is always less than 20. Therefore, A is . 1B
C1
When A is replaced with 1, as shown on the right, B 111
and C .
16 NUMINO Challenge B1
Basic Concepts Addition Alphametics
The use of letters or symbols to replace digits or an entire number in an
arithmetic equation is called alphametics. In alphametics, each letter
represents a different digit, and the leftmost letter or symbol cannot be 0.
When solving an addition alphametics problem, start by finding the
greatest digit. In the following 2-digit addition problem, the number in the
hundreds place, , is always 1, and can either be 1 or 2.
1
1 or 2
Example Find the values of A, B, and C in the following addition problem.
AA
AB
CA
AAA
Class Notes
A in the hundreds place is the sum of three numbers in the tens place. AA
AB
A can either be or . CA
AAA
When A is 1 or 2, the sum of A, A, and C in the
11
tens place is always less than 20. Therefore, A is . 1B
C1
When A is replaced with 1, as shown on the right, B 111
and C .
16 NUMINO Challenge B1
