Three consecutive odd counting numbers have the property that the sum of the largest and twice the smallest is 91. What is the middle number?
unknown values: 2*k+1
equation: (2*k+3)+2*(2*k-1)=91
answer: 31
The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller, the result is 40. Find the numbers.
unknown values: x,y
equation: y=4*x+8
equation: y+4*x=40
answer: {4; 24}
If 3 is subtracted from four times a number, the result is 10 less than five times the number. Find the number.
unknown values: x
equation: 4*x-3=5*x-10
answer: 7
which value is a solution to 60+2x=12x+10?
unknown values: x
equation: 60+2*x=12*x+10
answer: 5
Phil found that the sum of twice a number and -21 is 129 greater than the opposite of the number, What is the number?
unknown values: n
equation: (2*n + (-21)) = 129 + (-1 * n)
answer: 50
Two consecutive integers are added together. The square of their sum is 361. What are the integers?
unknown values: x,x+1
equation: (x+x+1)^2=361
answer: 9; 10 or -10; -9
Two consecutive integers are added. The square of their sum is 361. What are the integers?
unknown values: x,x+1
equation: (x+x+1)^2=361
answer: 9; 10 or -10; -9
The Square of the sum of 2 consecutive integers is 49. Find the integers.
unknown values: x,x+1
equation: (x+x+1)^2=49
answer: 3; 4 or -4; -3
find the two consecutive even integers whose sum squared is 900
unknown values: x,x+2
equation: (x+x+2)^2=900
answer: 14; 16 or -16; -14
A number consists of two digits . THe digit at ten's place is 4 times the digit at unit's place. On changing the place of digits, the new number formed is 54 less than the original number. Find the number?
unknown values: 10*x+y
equation: x=4*y
equation: 10*x+y-54=10*y+x
answer: 82