The difference of two numbers is 48. The second is 8 less than 5 times the first. What are the two numbers.

unknown values: x,y

equation: x-y=48

equation: y = 5*x - 8

answer: 14; 62 or -10; -58 | 14; 62 | -10; -58

a two-digit number is equal to 7 times the units digit. if 18 is added to the number, its digits are reversed. find the number.

unknown values: x

equation: x = 10*a+b

equation: x = 7*b

equation: x + 18 = 10*b+a

answer: 35

Find 4 consecutive even integers where the product of the two smaller numbers is 72 less than the product of the two larger numbers?

unknown values: 2*k,2*k+2,2*k+4,2*k+6

equation: 2*k(2*k+2) = (2*k+4)(2*k+6) -72

answer: 6; 8; 10; 12

The sum of the digits of a 2-digit number is 7. If 27 is added to the number, the result is expressed by the digits in reverse order. Find the number

unknown values: n

equation: n = 10*a + b

equation: a + b = 7

equation: n + 27 = 10*b + a

answer: 25

The products of three pairs of numbers are equal. One number in the second pair is 2 bigger, and one in the third pair is 3 bigger, than the first number in the first pair. The other numbers in the second and third pairs are respectively 15 and 18 less than second number of the first pair. Find each pair.

unknown values: a,b,c,d,m,n

equation: ab = cd

equation: ab = mn

equation: c = 2 + a

equation: m = 3 + a

equation: d = b - 15

equation: n = b - 18

answer: {2; 30}; {4; 15}; {5; 12} | 2; 30; {4; 15}; {5; 12} | 2; 30; 4; 15; 5; 12

A number is 72 less than its square. Find all such numbers.

unknown values: n

equation: n = n^2 - 72

answer: 9 or -8 | {9; -8}

If the average of ten consecutive odd integers is 20, what is the average of the last five of those integers?

unknown values: x

equation: ((2*k+1) + (2*k+19)) * 10 / 2 / 10 = 20

equation: ((2*k+11) + (2*k+19)) * 5 / 2 / 5 = x

answer: 25

three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third. what are the integers?

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

equation: 2*k+3(2*k+2)=38+2(2*k+4)

answer: 20; 22; 24

If The Divisor Is 4 And The Quotient Is 8 , What Is The Dividend ?

unknown values: x

equation: x / 4 = 8

answer: 32

two consecutive odd numbers total -20. Find the smaller.

unknown values: 2*k+1

equation: (2*k+1)+(2*k+3)=-20

answer: -11