Question

EXERCISE-5.3
1. Find two consecutive odd positive integers whose sum is 60.
Find two consecutive even positive integers whose sum is 50.
h
3. Divide 76 into two parts such that bigger part is three times the smaller part. i
4. Find the two numbers whose sum and difference are 42 and 6 respectively.
5. The sum of threeconsecutive natural numbers is 147. Find the numbers.
6. The sum of three consecutive odd natural numbers is 87. Find the numbers.
7. Twothirds of a number is more than three-fifth of the number by 6 find the num
8. What is number of which the third part exceeds the fifth part by 6?
9. A father's age is three times that of his son. After fifteen years, he will be twice a
how old are they?
3
1
10. A man travelled of his journey by bus, by a cycle and the remaining 1 km
4
5
What is the length of his total journey?
11. There are only 10-paise coins in a purse whose total amount is Rs. 45, find then
of coins in the purse.​

Answer 1

Step-by-step explanation:

1.

x+x+2=60

2x+2=60

2x=58

x=29

x+2=31

2.

x+x+2=50

2x+2=50

2x=48

x=24

x+2=26

3.

76/x=3x

76=3x^2

4.

x+y=42

x-y=6

2x=48

x=24

y=18

5.

x+x+1+x+2=147

3x+3=147

x+1=49

x=48

x+1=49

x+2=50

6.

x-2+x+x+2=87

3x=87

x=29

x-2=27

x+2=31

7.

2/3x=3/5x+6

2/3x=3x+30/5

10/3x=3x+30

9x^2+90x-10=0

9

8.

Answer 2

Step-by-step explanation:

Find two consecutive odd positive integers whose sum is 60.