The sum of three numbers a, b, and c is 88. If we decrease a by 5, we get N. If e increase b by 5, we get N. If we multiply c by 5, we get N. What is the value of N?
I'm really stuck, thanks if anyone could help quickly!!
We are given that a+b+c=88 and a-5=N, b+5=N and c*5=N.
From the first equation we know that c=88-a-b. Substituting this into the second equation we get: b+5=88-a-b --> 2b=83-a --> b=41-(1/2)a Substituting this into the third equation we get: 5c=88-a --> c=17-(1/5)a So we have three equations in three unknowns: a-5=N b=41-(1/2)a c=17-(1/5)a
Substituting the first equation into the second equation we get: 41-(1/2)a=a-5 --> a=36 Substituting this value into the first equation we get: 36-5=N --> N=31
Therefore, the value of N is 31.
