SOLUTION: 1.Find the two numbers whose sum is 108 and whose difference is 24. 2. The cost of 5 tables is the same as the cost of 8 chairs. If the cost of 4 tables and 9 chairs is Rs. 3080

Question 196883: 1.Find the two numbers whose sum is 108 and whose difference is 24.
2. The cost of 5 tables is the same as the cost of 8 chairs. If the cost of 4 tables and 9 chairs is Rs. 3080, Find the cost of each.
3. Five years ago, A's age was four times B's age, 6 years hence A'age to B'S is 5:2. Find the ages of A and B at present.
4. If the length of a rectangular room is decreased by 2m and its breadth increased by 5m, its area would increase by 80 sq.m. If the length is increased by 3 m and its breadth decreased by 2m, its areea would decrease by 20 sq.m. Find the length and breadth of the room.

Answer by anantha(86) (Show Source): You can put this solution on YOUR website!
sol:
let the numbers be x,y
sumof these numbers=x+y
difference of these numbers=x-y
according to the problem
sum of these numbers=108
x+y=108
difference of these numbers=24
x-y=24
x-y=24
x=24+y
substitute this equation in x+y=108
24+y+y=108
24+2y=108
subtract 24 on both sides
24+2y-24=108-24
2y=84
dividing by 2 on both sides
2y/2=84/2
y=42
substitute this value in x-y=24
x-42=24
adding 42 on both sides
x-42+42=24+42
x=66
the numbers are 42 and 66
verification:
x+y=66+42=108
x-y=66-42=24

RELATED QUESTIONS
1.Find the two numbers whose sum is 108 and whose difference is 24. 2. The cost of 5... (answered by J2R2R)

Find two numbers whose sum is 23 and the difference of whose squares is... (answered by mducky2)

Find the sum of two positive numbers whose difference is 136 and whose quotient is... (answered by drk)

Find two numbers whose sum is 72 and whose difference is 10. The two numbers... (answered by ikleyn,MathTherapy)

Find two numbers whose difference is 8 and the difference of their squares is... (answered by vleith)

Find two numbers whose difference is 5 and the difference of their squares is... (answered by gc2000)

Which of the following is the smaller of two positive integers whose product is 108 and... (answered by Stitch)

find two numbers whose sum is 20 and the difference of their square is... (answered by Fombitz)

find two numbers whose sum is 13 and the difference of their squares is... (answered by srinivas.g)