5 less than 6 times a whole number is 9 less than 8 times that number. Find the number.

unknown values: n

equation: 6*n - 5 = 8*n - 9

answer: 2

a no. has two digits whose sum is 14. if 36 is added to the no., its digits are interchanged. find the no.

unknown values: 10*x+y

equation: (x+y)=14

equation: 36+(10*x+y)=(10*y+x)

answer: 59

The sum of the digits of a two digit number is 8. When the digits are reversed, the number is increased by 36. Find the number.

unknown values: 10*x+y

equation: x+y=8

equation: 10*x+y+36=10*y+x

answer: 26

the sum of the digits of a two digit number is 15. if the digits are interchanged the result exceeds the original number by 9. find the number.

unknown values: x+10*y

equation: x+y=15

equation: (10*x+y)-(x+10*y)=9

answer: 78

The sum of two numbers is 42. one number is 3 less than 4 times the other number. what are the numbers?

unknown values: x,y

equation: x+y=42

equation: x = 4*y - 3

answer: {33; 9}

One number is 3 less than twice another number. If the sum of the numbers is 330, find the two numbers.

unknown values: x,y

equation: x=2*y-3

equation: x+y=330

answer: {219;111}

One number is 16 more than another. If the smaller number is subtracted from 2/3 of the larger, the result is 1/4 of the sum of the two numbers. Find the numbers.

unknown values: x,y

equation: y=16+x

equation: (2/3)*y-x=(1/4)*(x+y)

answer: 24; 8

find two consecutive odd integers such that three times the smaller one exceeds two times the larger one by 7

unknown values: 2*k-1, 2*k+1

equation: 3(2*k-1)=7+2*(2*k+1)

answer: 11; 13

Find three consecutive even integers such that twice the sum of the second and the third exceeds three times the first by 34.

unknown values: 2*x,2*x+2,2*x+4

equation: 2(2*x+2+2*x+4)-34=3*2*x

answer: 22; 24; 26

The sum of two integers is 10. Three times the larger integer is three less than eight times the smaller integer. Find the integers.

unknown values: x,y

equation: x+y=10

equation: 3*y+3=8*x

answer: {3; 7}