Question

Solve 3a +b =225 b-a =25

Answer 1

a = 50 and b = 75

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 =
`(300)/(4)=75`

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.