For three consecutive integers, the sum of 3 times the first integer and 2 times the second integer is 5 less than 4 times the third integer. What are the three consecutive integers?

For three consecutive integers, the sum of 3 times the first integer and 2 times the second integer is 5 less than 4 times the third integer. What are the three consecutive integers?

unknown values: k-1,k,k+1

equation: 3*(k-1)+2*k=4*(k+1)-5

answer: 1; 2; 3

Find two consecutive integers such that the sum of 8 times the first integer and 7 times the second integer is 127

unknown values: x,x+1

equation: 8*x+7*(x+1)=127

answer: 8; 9

If five times the smaller of two consecutive integers is added to three times the larger, the result is 59. Find the integers.

unknown values: x,x+1

equation: 5*x+3(x+1)=59

answer: 7; 8

Find two consecutive integers such that the sum of five times the smaller and three times the larger is 67

unknown values: x,x+1

equation: 5*x+3(x+1)=67

answer: 8; 9

Find two consecutive integers such that twice the first added to three times the second is equal to 83

unknown values: x,x+1

equation: 2*x+3*(x+1)=83

answer: 16; 17

find two consecutive integers such that the sum of twice the first integer and three times the second integer is 28

unknown values: x,x+1

equation: 2*x+3*(x+1)=28

answer: 5; 6

The sum of the squares of two consecutive integers is 41. What is the larger integer?

unknown values: x-1,x

equation: (x-1)^2+x^2=41

answer: 5 or -4

the greater of two consecutive even integers is six less than twice the smaller.

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

equation: 2*k+2=2*(2*k)-6

answer: 8; 10

the greater of two consecutive even integers is six less than three times the lesser

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

equation: 2*k+2=3*(2*k)-6

answer: 4; 6

FIND TWO CONSECUTIVE EVEN INTEGERS SUCH THAT TWICE THE SMALLER IS 10 MORE THAN THE LARGER

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

equation: 2*(2*k)=10+(2*k+2)

answer: 12; 14