Question

2. Setup equations and solve:
a) The sum of two numbers is 17. If one of the number is 5 less than the other number, what are the numbers?
b) Sonia scores 47 marks. She scores five more than three times her friend Sandhya. How much did Sandhya score?
c) The sum of two consecutive numbers is 53, find the numbers.
d) The length of the rectangle is twice its breadth. If the perimeter is 48cm. Find its length and breadth.​

Answer 1

Answer:

a) (X=11,Y=6)

Step-by-step explanation:

a) let,

the first number be 'X'

the second number be 'Y'

first condition,

X+Y=17 --------------- equation 1st

the second condition,

X-5=Y

X-Y=5 -------------- equation 2nd

Add equation 1&2, we get,

X+Y=17

X-Y =5

----------------------

2X=22

X=11

put X=11 in equation 1st ,we get,

X+Y=17

11+Y=17

Y=17-11

Y=6

(X=11,Y=6)