Answer:
a = 50 and b = 75
Step-by-step explanation:
The given equations are
3a + b = 225 ------------(1)
b - a = 25 ----------------(2)
We have to solve these equations to find the value of a & b .
Now we will multiply equation (2) by 3 and add it to equation (1)
(3a + b) + 3 (b-a) = 225 + 3 × 25
(3a + b) + (3b - 3a) = 225 +75
(3a - 3a) + (b + 3b) = 300
4b = 300
b = [tex]\frac{300}{4}=75[/tex]
Now we put the value of b = 75 in equation (2)
75 - a = 25
-a = 25 -75
-a = -50
a = 50
Therefore, a = 50 and b = 75 will be the answer.
