The sum of two numbers is 42. One number is 2 times as large as the other. What are the numbers?

unknown values: x,y

equation: x=2*y

equation: x+y=42

answer: {28; 14}

Nine more than four times a number is the same as one less than twice the number. Find the number.

unknown values: x

equation: 9 + 4*x = 2*x - 1

answer: -5

Twice the sum of a number and 8 is 40. Find the number

unknown values: x

equation: 2*(x+8)=40

answer: 12

find the three consecutive integers whose sum is 99

unknown values: x,x+1,x+2

equation: x + (x+1) + (x+2) = 99

answer: 32;33;34

What three consecutive even integers have a sum of 150?

unknown values: n,n+2,n+4

equation: n+(n+2)+(n+4) = 150

answer: 48; 50; 52

The sum of three consecutive odd numbers is 153. Which is the LARGEST number?

unknown values: 2*k+5

equation: 2*k+1+2*k+3+2*k+5=153

answer: 53

if the sum of a number and 7 is tripled, the result is 3 less than twice the number

unknown values: x

equation: 3(x+7)=2*x-3

answer: -24

One number is 5 more than another number. Three times the first plus twice the second is 30. Find the numbers.

unknown values: x,y

equation: x-y=5

equation: 3*x+2*y=30

answer: 8; 3

The difference between two numbers is 18. Twice the smaller number plus three times the larger is 74. What are the numbers?

unknown values: x,y

equation: x - y = 18

equation: 2*y + 3*x = 74

answer: 22; 4

The difference between two numbers is 9. The sum of twice the larger number and three times the smaller number is 33. Find the two numbers.

unknown values: m,n

equation: m - n = 9

equation: 2*m + 3*n = 33

answer: {12; 3}