In the u. S congress, the number of representatives is 65 less than five times the number of senators. There are a total of 535 members of congress. Find the number of senators and the number of representatives

The number of senators is 100

The number of representatives is 435

Step-by-step explanation:

Given dа ta:

number of representatives is 65 less than five times the number of senators

here are a total of 535 members of congress

Let representatives be x

Let senators be y

5y - x = 65 (equation 1)

y + x = 535 (equation 2)

Adding equation 1 and equation 2

6y = 600 (Dividing both sides by 6)

y = 100

The number of senators is 100

Substituting y into equation 2

y + x = 535

100+x=535

x=535-100

x=435

The number of representatives is 435