The sum of two numbers is 61.the smaller number is 11 less then the larger number. what are the numbers?

The big number is 36.  

The smaller number is 25.

Step-by-step explanation:

Let x= big number  

Let (61-x)= small number  

The smaller number (61-x) is 11 less than the larger number x.  

This is written as (61-x)=x-11.  

We now simply solve for x.  

Once we find x, we then can find the two numbers.  

61-x=x-11

61+11=x+x

72=2x  

72/2=x  

36=x

~YAND3R3

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."