The sum of the digits of a two digit number is one third of the number. The units digit is 5 more than the tens digit. What is the number?

The sum of the digits of a two digit number is one third of the number. The units digit is 5 more than the tens digit. What is the number?

unknown values: n

equation: n = 10*a + b

equation: a + b = 1/3 * n

equation: b = 5 + a

answer: 27

If 3/5 of the number is 40 lesser than the 40 % of the same number, what is the 35% of that number ?

unknown values: 35/100*x

equation: 3/5*x = 40/100*x - 40

answer: -70

what number multiplied by itself 4 times gives you 1296?

unknown values: n

equation: n^4 = 1296

answer: 6 or -6

Find two numbers such that 4 times the first number minus 4 times the second number equals 24 and twice the first number times the second number equals 30

unknown values: x,y

equation: 4*x - 4*y = 24

equation: 2*xy = 30

answer: 7.899; 1.899 or -1.899; -7.899

The sum of three numbers is 100. Find the numbers if the second number is 10 more than twice the first, and the third number is ten less than the sum of the first and the second.

unknown values: x,y,z

equation: x + y + z = 100

equation: y = 10 + 2*x

equation: z = (x + y) - 10

answer: 15; 40; 45

The average (arithmetic mean) of t, u, v, w, and x is 120. If the average of t, u, v, and w is 80, what is the value of x?

unknown values: x

equation: (t + u + v + w + x) / 5 = 120

equation: (t + u + v + w) / 4 = 80

answer: x = 280 | 280

If 30 is added to 1/3 of a number, the result is double the number.What is the number?

unknown values: x

equation: 1/3 * x + 30 = 2*x

answer: 18

Find 3 consecutive odd integers such that 4 less than twice the second has the same value as three times the number that is one more than the third.

unknown values: x,x+2,x+4

equation: 2(x+2) - 4 = 3(x+4+1)

answer: -15; -13; -11

a certain number decreased by 4 is equal to 8 increased by the quotient of the same number and 5. what is the number?

unknown values: m

equation: m - 4 = 8 + m/5

answer: 15

Find four rational numbers such that the product of the first, third and fourth numbers is -6. The second number is 3 less than the first number, the third is 2 less than the second, and the fourth is 2 less than the third.

unknown values: a,b,c,d

equation: acd = -6

equation: b = a - 3

equation: c = b - 2

equation: d = c - 2

answer: 6; 3; 1; -1