Find the missing digits. 18 ⋅ ( _ _4 + 29_ ) = 19,080
A) 18 ⋅ ( 764 + 295 ) = 19,080
B) 18 ⋅ ( 764 + 296 ) = 19,080
C) 18 ⋅ ( 774 + 296 ) = 19,080
D) 18 ⋅ ( 754 + 296 ) = 19,080
E) 18 ⋅ ( 814 + 295 ) = 19,080

Question

Find the missing digits. ​ 18 ⋅ ( _ _4 + 29_ ) = 19,080 ​ ​
A) 18 ⋅ ( 764 + 295 ) = 19,080
B) 18 ⋅ ( 764 + 296 ) = 19,080
C) 18 ⋅ ( 774 + 296 ) = 19,080
D) 18 ⋅ ( 754 + 296 ) = 19,080
E) 18 ⋅ ( 814 + 295 ) = 19,080

Quizplus · Accepted Answer

First, we need to find the missing digits in the parentheses. Since the product of 18 and the sum of the two missing digits must equal 8800 (which is obtained by subtracting 19,080 from the product of 18 and 1000), we can list out the possible combinations: 1+8799, 2+4398, 4+2199, 8+1099, 11+799, 16+499, 22+349, 23+329, 32+274, 46+174, and 88+99. From these combinations, we can see that the only one that works is 76+429, giving us choice B.

Find the Missing Digits