Five times the first of two consecutive odd integers is three times the second. Find the integers?
unknown values: 2*k-1,2*k+1
equation: 5*(2*k-1)=3*(2*k+1)
answer: 3; 5
Seven times the first of two consecutive odd integers is equal to five times the second. Find each integer.
unknown values: 2*k-1,2*k+1
equation: 7*(2*k-1)=5*(2*k+1)
answer: 5; 7
the sum of two consecutive even integers is -298. what are the integers?
unknown values: 2*k,2*k+2
equation: 2*k+(2*k+2)=-298
answer: -150; -148
the sum of two consecutive even integers is -78. find the two integers.
unknown values: 2*k,2*k+2
equation: 2*k+(2*k+2)=-78
answer: -40; -38
The larger of 2 integers is one more than three times the smaller. If the sum of the two integers is 37, find the larger integer.
unknown values: m
equation: m = 1 + 3*n
equation: m + n = 37
answer: 28
The sum of two numbers is 70. The larger number is 4 more than twice the smaller number. What is the smaller number?
unknown values: y
equation: x+y=70
equation: x=4+2*y
answer: 22
one integer is 3 more than twice another integer. If sum of the two integers is 36, what is the smaller integer?
unknown values: x
equation: y=2*x+3
equation: x+y=36
answer: 11
the sum of two integers is fifty seven. Twice the smaller integer is six less than the larger integer. Find the smaller integer
unknown values: x
equation: x+y=57
equation: y = 2*x+6
answer: 17
Find two consecutive positive integers such that the square of the first decreased by 25 equals three times the second.
unknown values: x,x+1
equation: x^2-25=3(x+1)
equation: x>0
answer: 7; 8
Find two consecutive even integers such that 3 times the smaller is 12 more than 2 times the larger.
unknown values: 2*k,2*k+2
equation: 3*(2*k)=2*(2*k+2)+12
answer: 16; 18