if the larger of two numbers is subtracted from 6 times the smaller, the result is 20. if twice the larger number is added to 4 times the smaller, the result is 56. find the numbers

if the larger of two numbers is subtracted from 6 times the smaller, the result is 20. if twice the larger number is added to 4 times the smaller, the result is 56. find the numbers

unknown values: m,n

equation: 6*n-m = 20

equation: 2*m+4*n = 56

answer: {16; 6}

The sum of twice a first number and five times a second number is 111. If the second number is subtracted from five times the first number the result is 21. Find the numbers

unknown values: x,y

equation: 2*x+5*y=111

equation: 5*x-y=21

answer: 8; 19

The smaller of two consecutive integers is four more than half of the greater.

unknown values: x,x+1

equation: x=(1/2)*(x+1)+4

answer: 9; 10

There are two consecutive even integers. The square of the larger one is three hundred eight more than the smaller one.

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

equation: (2*k+2)^2=(2*k)+308

answer: 16; 18

If the difference between the squares of two consecutive even integers is the same as four less than the product of the integers, what is one of the integers?

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

equation: (2*k+2)^2-(2*k)^2=2*k(2*k+2)-4

answer: 4; 6 or -2; 0

find the ratio of 28 days to 4 weeks.

unknown values: x

equation: x=28/4

answer: 7

what is the reciprocal of 0.8.

unknown values: x

equation: x = 1/0.8

answer: 5/4 | 1.25

what is the answer to 30 divided by 8 as a fraction?

unknown values: f

equation: f = 30/8

answer: 15/4

the sum of the squares of two consecutive odd positive integers is 130. find the integers

unknown values: 2*k-1,2*k+1

equation: (2*k-1)^2+(2*k+1)^2=130

answer: 7; 9

The sum of the squares of two consecutive negative odd integers is 290. Find the integers.

unknown values: 2*k-1, 2*k+1

equation: (2*k-1)*(2*k-1)+(2*k+1)*(2*k+1)=290

answer: -13; -11