Question

238×76=([ ]×76)+(28×76)

What number should come in the box to make the above number sentence true?​

Answer 1

Answer:

210

Step-by-step explanation:

To find out the missing number let assume the missing number be 'x' in the equation,

Now we will find out the value of 'x' by substituting the values given in the equations,

So,

$238 \times 76 = (x \times 76) + (28 \times 76) \\ \\ = > 18088 = 76x + 2128 \\ \\ = > 76 x = 18088 - 2128 \\ \\ = > 76x = 15960 \\ \\ = > x = \frac{ { \cancel{15960 }}^{ \: \: 210} }{{ \cancel{76}}^{ \: \: 1} } \\ \\ = > \green {\boxed{x = 210}}$

Therefore, the missing number is 210 which should come in the box to make the above number sentence true.