the sum of 3 digits is 5. The first and last digits are the same. If the middle digit is exchanged with the first digit , the new number is 90 less than the original number. Find the original number.
unknown values: n
equation: n=100*x+10*y+z
equation: x+y+z=5
equation: x=z
equation: 100*y+10*x+z=n-90
answer: 212
The sum of 3 numbers is 34. The first number is 3 less than the second and the third is 4 more than the second.
unknown values: x,y,z
equation: x+y+z=34
equation: x+3=y
equation: z=y+4
answer: {8;11;15}
one number is six more than another number. The sum of the larger number and twice the smaller number is 12. Find the numbers.
unknown values: x, y
equation: x = y + 6
equation: x + 2*y = 12
answer: 8; 2
One number is 8 more than another number. If the sum of the smaller number and twice the larger number is 46, find the two numbers.
unknown values: x, y
equation: x = y + 8
equation: y + 2*x = 46
answer: 18; 10
one number is 8 more than another. if the sum of the smaller number and twice the larger number is 46, find the two numbers.
unknown values: x,y
equation: x = 8 + y
equation: y + 2*x = 46
answer: 18; 10
find three consecutive odd integers such that the largest decreased by three times the second is 47 less than the smallest
unknown values: 2*k+1,2*k+3,2*k+5
equation: 2*k+5-3*(2*k+3)=2*k+1-47
answer: 15;17;19
Find two consecutive odd integers whose sum is 0
unknown values: 2*k+1,2*k+3
equation: 2*k+1+2*k+3=0
answer: -1;1
The sum of two consecutive odd integers is 144. Find the integers.
unknown values: 2*k+1,2*k+3
equation: (2*k+1)+(2*k+3)=144
answer: 71; 73
one number is 12 more than half another number. the two numbers total 60. find the numbers.
unknown values: x,y
equation: x=12+y/2
equation: x+y=60
answer: {28;32}
four fifths of a number added to one half the number is equal to the sum of one tenth of the number and 1. what is the number?
unknown values: x
equation: 4/5*x+1/2*x= 1/10*x+1
answer: 5/6 | 0.833