The average of two numbers is 50. One of the numbers is four less than three times as many as the other number. What are these two numbers?

unknown values: m,n

equation: m + n = 2 * 50

equation: m = 3*n - 4

answer: {74; 26}

Evaluate the expression (x^2 + y) - x when x = 2, and y = 6.

unknown values: z

equation: z = (x^2 + y) - x

equation: x = 2

equation: y = 6

answer: 8

What number is 50 more than 108 divided by 9?

unknown values: x

equation: x = 50 + 108/9

answer: 62

find the sum of the reciprocals of two consecutive even integers if the smaller integer is x.

unknown values: s

equation: s = 1/x + 1/(x+2)

answer: (2x + 2) / (x(x + 2))

Two consecutive even numbers are such that their sum is greater than 98 decreased by twice the larger. Find the smallest possible values for the integers.

unknown values: 2*k,2*k+2

equation: 2*k+(2*k+2) >98-2*(2*k+2)

answer: 24; 26

three more than five times a number is less than 18. Find the largest integer for which this is true.

unknown values: x

equation: 5*x+3

<18 answer: 4 A denominator is 3 plus the numerator of a fraction. If 4 is added to the denominator and 2 subtracted from the numerator, the resulting fraction is 3/4. Find the original fraction. unknown values: n equation: n = x/y equation: y = 3+x equation: (x-2)/(y+4) = 3/4 answer: 29/32 A denominator is 3 times the numerator of a fraction. If 4 is added to the denominator and 2 subtracted from the numerator, the resulting fraction is 3/4. Find the original fraction. unknown values: n,x,y equation: n = y/x equation: x=3*y equation: (y-2)/(x+4) = 3/4 answer: (-4)/(-12) If the sum of four consecutive even integers is less than 250, what is the greatest possible value for one of these even integers? unknown values: x-6,x-4,x-2,x equation: x-6+x-4+x-2+x<250 answer: 64 the sum of the number and its square root is 6/25,then find the number ? unknown values: x equation: x+x^(1/2)=6/25 answer: 1/25 | 0.04