Question 15
What digit does each letter represent in each of the seven calculations? Adjacent letters form a decimal number.
(a) $BB+A=ACC$
(b) $AB+A=CDC$
(c) $AB+BC=BCB$
(d) $ABC\times A=2C90$
(e) $AB\times AB=ACD$
(f) $AB\times AB=B7B$
(g) $ABCDEF\times F=GGGGGG$
Give the letter values and explain your reasoning for all parts; in (e), give both solutions. This is a written-response question.
Use the standard letter-digit convention separately in each part: equal letters mean equal digits, different letters mean different digits, and a leading digit is not zero. These conventions are implicit rather than stated in the source.
(a) $BB+A=ACC$
(b) $AB+A=CDC$
(c) $AB+BC=BCB$
(d) $ABC\times A=2C90$
(e) $AB\times AB=ACD$
(f) $AB\times AB=B7B$
(g) $ABCDEF\times F=GGGGGG$
Give the letter values and explain your reasoning for all parts; in (e), give both solutions. This is a written-response question.
Use the standard letter-digit convention separately in each part: equal letters mean equal digits, different letters mean different digits, and a leading digit is not zero. These conventions are implicit rather than stated in the source.