If the first and third of 3 consecutive odd integers are added, the result is 57 less than 5 times the second integer. Find the 3rd integer.
unknown values: 2*k+3
equation: (2*k-1)+(2*k+3)=5*(2*k+1)-57
answer: 21
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
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
12 divided by 3+ 18 divided by 2
unknown values: x
equation: x=12/3+18/2
answer: 13
The number 2002 is equal to the sum of 7 consecutive natural numbers. What is the smallest of these 7 numbers?
unknown values: x-3
equation: x-3+x-2+x-1+x+x+1+x+2+x+3=2002
answer: 283
The sum of two consecutive even integers is equal to 30. What is the smaller integer?
unknown values: 2*k
equation: (2*k)+(2*k+2)=30
answer: 14
Find five consecutive odd integers such that the sum of the first and the fifth is one less than three times the fourth.
unknown values: 2*k-3,2*k-1,2*k+1,2*k+3,2*k+5
equation: (2*k-3)+(2*k+5)=3*(2*k+3)-1
answer: -9; -7; -5; -3; -1
find 2 consecutive even integers such that eleven more than half the second integer results in the first integer.
unknown values: 2*k,2*k+2
equation: (2*k+2)*1/2+11=2*k
answer: 24; 26
the sum of 3 consecutives odd integers is 40 more than the smallest. What are the integers?
unknown values: 2*k+1,2*k+3,2*k+5
equation: 2*k+1+2*k+3+2*k+5=2*k+1+40
answer: 17;19;21