The sum of two numbers is 87. Three times the smaller plus twice the larger is 216. Find the larger number.

unknown values: y

equation: x+y=87

equation: 3*x+2*y=216

answer: 45

There are 3 consecutive integers such that 3 times the sum of the first and third is 5 times the second. What is the third integer?

unknown values: x+1

equation: 3*((x-1)+(x+1))=5*x

answer: 1

find three consecutive integers such that the product of the first and second is five less than five times the third

unknown values: x,x+1,x+2

equation: x(x+1)+5=5(x+2)

answer: 5; 6; 7 or -1; 0; 1

if one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. what are the two integers?

unknown values: x,x+1

equation: (x+1)*3/5-x*1/2=3

answer: 24; 25

The sum of two consecutive even integers is 62. Find the larger number.

unknown values: 2*k+2

equation: 2*k+(2*k+2)=62

answer: 32

The product of two consecutive even integers is 360. Find the integers.

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

equation: 2*k*(2*k+2)=360

answer: 18;20 or -20;-18

the two consecutive even integers whose product is 624

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

equation: 2*k*(2*k+2)=624

answer: 24; 26 or -26; -24

the product of two consecutive odd numbers is 143. find the numbers.

unknown values: 2*n-1,2*n+1

equation: (2*n-1)(2*n+1) = 143

answer: 11; 13 or -13; -11

If the sum of the consecutive integers from -22 to x, inclusive, is 72, what is the value of x?

unknown values: x

equation: (-22+x)*(x-(-22)+1)/2=72

answer: 25

Find 3 consecutive odd numbers where the product of the smaller two numbers is 34 less than the square of the largest number.

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

equation: (2*k-1)(2*k+1)=(2*k+3)^2-34

answer: 3; 5; 7