Question

When a set 4 integers are summed together in pairs, the resulting sums are 10, 13, 16, 19, 22, and 25. What is their product?

Answer 1

let that number are a, b, c, and d.
the equations are :
a+b=10
a+c=13
a+d=16
b+c=19
b+d=22
c+d=25

Answer 2

add the 1st equation with the 2nd, get
a+b=10
a+c=13
------- +
2a + b+c = 23

in the 4th equation says that b+c = 19, so
2a + b+c = 23
2a + 19 = 23
2a = 23 - 19
2a = 4
a = 4/2 = 2

i think the rest be easy for you now to get the values of b,c, and d

Answer 3

then multiply of them
a * b * c * d = ...