The difference between two positive integers is 4. If the smaller is added to the square root of the larger, the sum is 86. find the integers.

unknown values: x,y

equation: x - y = 4

equation: r^2 = x

equation: r + y = 86

equation: r >0

answer: {81; 77}

The product of two decimal numbers is 8.12. The difference of the two numbers is 0.1. What are the two numbers?

unknown values: x,y

equation: xy=8.12

equation: x-y=0.1

answer: {2.9; 2.8} or {-2.8; -2.9}

Find two positive integers whose difference is 4 and whose product is 96

unknown values: x,y

equation: x-y=4

equation: xy=96

answer: {12; 8}

The product of two consecutive integers x and y is 156. Find the two integers.

unknown values: x,y

equation: y = x+1

equation: xy=156

answer: {12; 13} or {-13; -12}

The larger of two positive numbers is nine more than the smaller. Their product is 70. What are the two positive integers.

unknown values: x,y

equation: x = 9 + y

equation: xy = 70

answer: {14; 5}

One integer is 5 more than another. Their product is 84. Find the integers.

unknown values: x, y

equation: x = y+5

equation: xy=84

answer: {12; 7} or {-7; -12}

one integer is 9 more than another. their product is 136. Find the integers

unknown values: x, y

equation: x = y + 9

equation: xy=136

answer: {17; 8} or {-8; -17}

There are four consecutive even integers. Half the sum of the second and third is 35. What is the last integer?

unknown values: 2*k+4

equation: (2*k+(2*k+2))*1/2=35

answer: 38

find the three consecutive odd integers such that the sum of the first and third is 42

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

equation: (2*k-1)+(2*k+3)=42

answer: 19; 21; 23

The sum of the largest and smallest of three consecutive even numbers is 68. What are the three numbers?

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

equation: 2*k-1+ (2*k+3) = 68

answer: 32; 34; 36