An integer minus 3 times its reciprocal equals 26/3. What is the integer?

unknown values: n

equation: n - 3/n = 26/3

answer: 9

Find a number such that subtracting its reciprocal from the number gives 16/15.

unknown values: n

equation: n - 1/n = 16/15

answer: 5/3 or -3/5 | 1.667 or -0.6

The tens digit of a certain two-digit number is 3 more than the units digit. The sum of the squares of the two digits is 117. Find the number.

unknown values: n

equation: n = 10*x + y

equation: x=y+3

equation: x^2+y^2=117

answer: 96

Nine times the first of two consecutive odd integers equals seven times the second. Find the integers.

unknown values: 2*k+1,2*k+3

equation: 9*(2*k+1)=7*(2*k+3)

answer: 7;9

The sum of Two numbers is 39. Twice the first number and plus 3 times the second number is 101. What are the numbers?

unknown values: x,y

equation: x+y=39

equation: 2*x+3*y=101

answer: 16; 23

The sum of two numbers is 21. Two times the smaller number plus five times the larger number is 84. What are the two numbers?

unknown values: x, y

equation: x + y = 21

equation: 2*x + 5*y = 84

answer: {7; 14}

a number is 7 less than another. if 4 times the smaller number plus twice the larger is 46, find the two numbers?

unknown values: y,x

equation: x-y=7

equation:4*y+2*x=46

answer: 16/3; 37/3 | 5.333; 12.333

The difference between two numbers is 55. Four times the smaller number plus five times the larger number is 176. What are the numbers.

unknown values: x,y

equation: x - y = 55

equation: 4*y + 5*x = 176

answer: {44; -11}

One number is 15 more than the other. The sum of twice the larger and 3 times the smaller is 182. Find the numbers.

unknown values: x,y

equation: x = 15 + y

equation: 2*x + 3*y = 182

answer: {227/5; 152/5} | {45.4; 30.4}

The first number is 5 less than the second number. Four times the first number plus five times the second number is 74. Find the numbers.

unknown values: m,n

equation: m = n - 5

equation: 4*m + 5*n = 74

answer: 49/9; 94/9 | 5.444; 10.444