Correct Answer - Option 3 : 155
Given:
The linear equation in two variables x and y,
31x + 124y = k ------ (1)
Calculation:
In this type of question we go through the given option.
Let,
The coefficient of x and y will be 1.
And,
Putting the value of k in equation (1)
⇒ 31x + 124y = 103
Then,
⇒ 31 × 1 + 124 × 1 = 103
⇒ 155 ≠ 103
L.H.S ≠ R.H.S , K ≠ 103
Again,
Taking, K = 134
⇒ 31 × 1 + 124 × 1 = 134
⇒ 155 ≠ 134
L.H.S ≠ R.H.S , K ≠ 134
Again,
Taking, K = 155
⇒ 31 × 1 + 124 × 1 = 155
⇒ 155 = 155
L.H.S = R.H.S , K = 155
Again,
Taking, k = 72
⇒ 31 × 1 + 124 × 1 = 72
⇒ 155 ≠ 72
L.H.S ≠ R.H.S , K ≠ 72
So,
We can see that k = 155 is satisfying the given equation for the integer valued solution.
