English

A Number is 15 More than the Other. the Sum of Of the Two Numbers is 195. Find the Numbers. - Mathematics

Advertisements
Advertisements

Question

A number is 15 more than the other. The sum of of the two numbers is 195. Find the numbers.

Sum

Solution

Let the smaller number be x. Then the larger number is: x + 15

The sum of the two numbers is given as 195, so:

x + (x + 15) = 195.

Simplify the equation:

2x + 15 = 195.

Subtract 15 from both sides:

2x = 180.

Divide by 2: x = 90

The larger number is: x + 15 = 90 + 15 = 105

The two numbers are: 90 and 105

shaalaa.com
Simple Linear Equations in One Variable
  Is there an error in this question or solution?
Chapter 12: Simple Linear Equations (Including Word Problems) - Exercise 12 (D)

APPEARS IN

Selina Concise Mathematics [English] Class 7 ICSE
Chapter 12 Simple Linear Equations (Including Word Problems)
Exercise 12 (D) | Q 9

RELATED QUESTIONS

Solve the following equation:

6(6x - 5) - 5(7x - 8) = 12(4 - x) + 1


Solve the following equation:

a – 2 = 6


Solve the following equation:

x – 5 = 8


Solve the following equation:

14 = 7m


Solve the following equation:

`"p" - 12 = 2 2/3`


Solve the following equation:

2b – 14 = 8


0.4x – 1.2 = 0.3x + 0.6


Solve: `"x"/2 + "x"/5 = 14`


Solve: `1/2 ("x" + 5) - 1/3 ("x" - 2) = 4`


The sum of three consecutive odd numbers is 63. Find the numbers.


Solve the following equations for the unknown: 5x + 10 - 4x + 6 = 12x + 20 - 3x + 12


Solve the following equation for the unknown: `("a" - 1)/(2) - ("a" + 1)/(3)` = 5 - a


Solve the following equations for the unknown: `(5)/x - 11 = (2)/x + 16, x ≠ 0`


Solve the following equations for the unknown: `(x + 13)/(x^2 - 1) + (5)/(x + 1) = (7)/(x + 1)`


Solve the following equations: a(x - b) -x (x - 2b) = x + 5(x - b)


A steamer goes in downstream from one port to another in 4hours. It covers the same distance in upstream in 5 hours. If the speed of the stream be 2 km/h, find the distance between the two ports.


The speed of a boat in still water is 8km/h. It takes the same time in going 20km in downstream as it takes in going 12 km upstream. Find the speed of the stream.


A and B together can do a piece of work in 4 days, but A alone can do it in 12 days. How many days would B alone take to do the same piece of work?


What number decreased by 12% of itself gives 1584?


The measures of angles of a triangle are (9x - 5)°, (7x + 5)° and 20x°. Find the value of x. Also, show that the triangle is isosceles.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×