a number when increased by 40% becomes 42. what is the number?

unknown values: n

equation: (1+40/100)*n = 42

answer: 30

what number increased by 30 % equals 490?

unknown values: n

equation: (1+30/100)*n = 490

answer: 4900/13 | 376.923

the sum of 6 times a number (N) and (4) is -30. what is the number?

unknown values: n

equation: 6*n + 4 = -30

answer: -17/3 | -5.667

What is the sum of the arithmetic sequence 174, 168, 162 ��, if there are 37 terms?

unknown values: s

equation: d = 168-174

equation: b = 174 + (37-1)d

equation: s = (174 + b)*37/2

answer: 2442

if 7 is added to a quarter of a certain number, the answer is 10. what is the number?

unknown values: x

equation: 7 + 1/4 * x = 10

answer: 12

Find the 3 consecutive integers with the sum of 267.

unknown values: x, y, z

equation: x + 1 = y

equation: y + 1 = z

equation: x + y + z = 267

answer: 88; 89; 90

There are three consecutive odd integers, such that three times the first, minus two times the second, plus 13, equals negative three times the sum of the first and the third. What is the first integer?

unknown values: 2*k-1

equation: 3(2*k-1)-2(2*k+1)+13=-3((2*k-1)+(2*k+3))

answer: -3

The sum of two numbers is 18 and their difference is 4. What are the two numbers?

unknown values: x,y

equation: x+y=18

equation: x-y=4

answer: {11; 7}

Two numbers have a sum of 22. Their difference is 4. what are the two numbers?

unknown values: x,y

equation: x+y=22

equation: x-y=4

answer: {13; 9}

Two numbers have a difference of 10 and the sum of 34. What are the numbers?

unknown values: x,y

equation: x-y=10

equation: x+y=34

answer: {22;12}