When the number n is multiplied by 4, the result is the same as when 4 is added to n. What is the value of 3n?
unknown values: 3*n
equation: 4*n = 4 + n
answer: 4
When the number w is multiplied by 4, the result is the same as when 4 is added to w. What is the value of 3w?
unknown values: 3*w
equation: 4*w = w + 4
answer: 4
Four times the sum of three consecutive odd integers is seven hundred sixty-five less than three times the product of the larger two numbers. What are the three integers?
unknown values: 2*k+1,2*k+3,2*k+5
equation: 4((2*k+1)+(2*k+3)+(2*k+5)) = 3(2*k+3)(2*k+5) - 765
answer: 15; 17; 19 or -17; -15; -13
How many whole numbers less than 500 have seven as the sum of their digits?
unknown values: n
equation: n = 1 + 7 + 7 + 6 + 5 + 4
answer: 30
x + 20 = y + 80. What is the value of x-y.
unknown values: n
equation: x + 20 = y + 80
equation: n = x - y
answer: 60
Sum of 2 numbers is 35.3 times the larger number is the same as 4 times the smaller number. find the larger number.
unknown values: x
equation: x+y=35
equation: 3*x = 4*y
answer: 20
if a is 50% larger than c, and b is 25% larger than c, then a is what percent larger than b?
unknown values: x
equation: a = (1 + 50/100)*c
equation: b = (1 + 25/100)*c
equation: a = (1 + x/100)*b
answer: 20% | 20
The numbers a and b are consecutive positive integers, and a
< square root of 200 < b.What is the value of the product of ab? unknown values: ab equation: b = a + 1 equation: a > 0 equation: is_integer(a, b) equation: a < sqrt(200) equation: sqrt(200) < b answer: 210 which 2 perfect squares get a difference of 35? unknown values: m^2,n^2 equation: m^2 - n^2 = 35 equation: is_integer(m) equation: is_integer(n) answer: {36; 1} or {324; 289} if 4 less than 3 times a certain number is 2 more than the number, what is the number unknown values: x equation: 3*x - 4 = 2 + x answer: 3