what number increased by 30% equals 260.
unknown values: x
equation: x * (1 + 0.3) = 260
answer: 200
When 5 times a number is added to twice the number, the result is 10. Find the number.
unknown values: n
equation: 5*n + 2*n = 10
answer: 10/7 | 1.429
find three consecutive integers such that four times their sum is equal to the product of the larger two numbers.
unknown values: x,x+1,x+2
equation: 4*(x+x+1+x+2)=(x+1)*(x+2)
answer: -1;0;1 or 10;11;12
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
The sum of two numbers is 40. The sum of twice the larger and 4 times the smaller is 108. Find the numbers.
unknown values: x,y
equation: x+y=40
equation: 2*x+4*y=108
answer: {26; 14}
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}
116 is divisible by how many numbers?
unknown values: n
equation: x*y=116
answer: 6 | 12
Find three consecutive odd integers such that the largest increased by three times the second is 47 less than the smallest.
unknown values: 2*k+1,2*k+3,2*k+5
equation: 2*k+5+3*(2*k+3)=2*k+1-47
answer: -19;-17;-15