What number, when added to the number three or multiplied to the three, gives the same result?
unknown values: n
equation: n + 3 = 3*n
answer: 3/2 | 1.5
Find the value of T in this equation: BT^2=F^3/Z?B=2,F=3,Z=4
unknown values: t
equation: b*t^2 = f^3/z
equation: b=2
equation: f=3
equation: z=4
answer: 1.837 or -1.837
I am a 3-digit numberAll my digits are oddI am less than 600I am greater than 400If you add my digits you get 15My last digit is 7What am I?
unknown values: n
equation: n = 100*a + 10*b + c
equation: n
< 600 equation: n > 400 equation: a + b + c = 15 equation: c = 7 answer: 537 what is the sum of the first 100 odd numbers unknown values: s equation: b = 1 + (100-1)*2 equation: s = (1+b)*100/2 answer: 10000 What is the sum of the first 500 odd numbers? unknown values: x equation: n = 1 + (500-1)*2 equation: x = (1+n)*500/2 answer: 250000 if the average of 20 different positive numbers is 20 then what is the greatest possible number among these 20 numbers? unknown values: x equation: (1+(20-1))*(20-1)/2 + x = 20*20 answer: 210 A+B+C+D=D+E+F+G=G+H+I=17 where each letter represent a distinct integer from 1 to 9. Find out what does letter D and G represent if letter A= 4 unknown values: d, g equation: a+b+c+d=17 equation: d+m+f+g=17 equation: g+h+i=17 equation: a = 4 equation: be_different(a,b,c,d,m,f,g,h,i) equation: a >= 1 equation: a <= 9 equation: b >= 1 equation: b <= 9 equation: c >= 1 equation: c <= 9 equation: d >= 1 equation: d <= 9 equation: m >= 1 equation: m <= 9 equation: f >= 1 equation: f <= 9 equation: g >= 1 equation: g <= 9 equation: h >= 1 equation: h <= 9 equation: i >= 1 equation: i <= 9 answer: 5; 1 If 9n^2 - 30n + c is a perfect square for all integers n, what is the value of c? unknown values: c equation: 30^2 = 4 * 9 * c answer: 25 What is the least value of k if 3x^2 + 6x + k is never negative? unknown values: k equation: 6^2 = 4*3*k answer: 3 Find the value of c that makes x^2+18x+c a perfect square trinomial. unknown values: c equation: 18^2 = 4 * 1 * c answer: 81