English

If a Number is Thrice the Other and Their Sum is 68, Find the Numbers.

Advertisements
Advertisements

Question

If a number is thrice the other and their sum is 68, find the numbers.

Sum
Advertisements

Solution

Let the two numbers be x and y respectively.
Then, we have
x = 3y    ....(i)
And,
x + y = 68
⇒ 3y + y = 68
⇒ 4y = 68
⇒ y = 17
⇒ x = 3 x 17
= 51
Thus, the two numbersare 51 and 17 respectively.

shaalaa.com
Methods of Solving Simultaneous Linear Equations by Elimination Method
  Is there an error in this question or solution?
Chapter 8: Simultaneous Linear Equations - Exercise 8.3

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 8 Simultaneous Linear Equations
Exercise 8.3 | Q 3

RELATED QUESTIONS

Solve the pair of linear (simultaneous) equations by the method of elimination by substitution:
8x + 5y = 9
3x + 2y = 4


Solve the pair of linear (simultaneous) equation by the method of elimination by substitution:
2x + 3y = 8
2x = 2 + 3y


Solve the following pair of linear (simultaneous) equation by the method of elimination by substitution:

0.2x + 0.1y = 25

2(x - 2) - 1.6y = 116


Solve the pair of linear (simultaneous) equation by the method of elimination by substitution:
6x = 7y + 7
7y - x = 8


Solve the following pair of linear (simultaneous) equation by the method of elimination by substitution:

1.5x + 0.1y = 6.2

3x - 0.4y = 11.2


Solve the following pair of linear (Simultaneous ) equation using method of elimination by substitution :
2( x - 3 ) + 3( y - 5 ) = 0
5( x - 1 ) + 4( y - 4 ) = 0


Solve th following pair of linear (Simultaneous ) equation using method of elimination by substitution :
`[ 2x + 1]/7 + [5y - 3]/3 = 12`

`[3x + 2 ]/2 - [4y + 3]/9 = 13`   


Solve the following simultaneous equations by the substitution method:
2x + y = 8
3y = 3 + 4x


Solve the following simultaneous equations by the substitution method:
x + 3y= 5
7x - 8y = 6


Solve the following simultaneous equations by the substitution method:
2x + 3y = 31
5x - 4 = 3y


Solve the following simultaneous equations by the substitution method:
7x - 3y = 31
9x - 5y = 41


Solve the following simultaneous equations by the substitution method:
7(y + 3) - 2(x + 2) = 14
4(y - 2) + 3(x - 3) = 2


The difference of two numbers is 3, and the sum of three times the larger one and twice the smaller one is 19. Find the two numbers.


The sum of four times the first number and three times the second number is 15. The difference of three times the first number and twice the second number is 7. Find the numbers.


Solve by the method of elimination

x – y = 5, 3x + 2y = 25


Solve by the method of elimination

3(2x + y) = 7xy, 3(x + 3y) = 11xy


Five years ago, a man was seven times as old as his son, while five year hence, the man will be four times as old as his son. Find their present age


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×