Answered

A three-digit number between 300 and 400 is 40 times the sum of its digits. Find the number if the tens digit is six more than the units digit.

Sagot :

Zarapheonaagohpeakm3viz

•The tens digit is six more than the units digit.

•Let x and (x+6) represent the units digit and tens digit respectively

Note: hundreds digit = 3

Question States

300 + 10(x+6) + x = 40(3 + x+ (x+6)

solving for x

300 + 10x + 60 + x = 120 + 8x + 240

11x + 360 = 360 + 8x

3x = 0

x = 0, the units digit. the ten digit is 6 ( 0 + 6)

the number is 360

CHECKING

360 = 40*9