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