Math, asked by raltaf9275, 8 months ago

Five times a number added to 2/3 of the number gives 102. Find the number.

Answers

Answered by chandujnv002
0

Answer:

The number is 18

Step-by-step explanation:

Let the number be x

Five times a number be 5x

2/3 of the number be 2/3*x

Given that:

Five times a number added to 2/3 of the number gives 102.

This gives the equation

5x + 2/3*x = 102

Take x common from the Left hand side

x( 5+2/3) = 102

take LCM of 5 and 2/3 = 3

x(5*3 + 2)/3 = 102

x * 17/3 = 102

x = 102*3/17

x = 18

So, the number is 18.

Cross checking the answer

Putting the value of X in the equation

5x + 2/3*x = 102

x = 18

5* 18 + 2/3 * 18 =102

90 + 12 = 102

102 = 102

LHS = RHS

(Left hand side = Right hand side)

Additional Knowledge

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more numbers. It is used to find the least common multiple of the denominators of the fractions in order to add or subtract them. It is also used in solving problems related to time and distance. The LCM can be calculated using the prime factorization method, the listing out multiples method

To learn more about Similar Questions from the link below

https://brainly.in/question/788677

https://brainly.in/question/191089

#SPJ2

Answered by Mithalesh1602398
0

Answer:

Given that: Five times a number added to 2/3 of the number gives 102. So, the number is 18.

Step-by-step explanation:

Step : 1  Let the number be x

Five times a number be 5x

2/3 of the number be 2/3*x

Given that:

Five times a number added to 2/3 of the number gives 102.

This gives the equation

5x + 2/3*x = 102

Take x common from the Left hand side

x( 5+2/3) = 102

take LCM of 5 and 2/3 = 3

x(5*3 + 2)/3 = 102

x * 17/3 = 102

x = 102*3/17

x = 18

So, the number is 18.

Step : 2  Cross checking the answer

Putting the value of X in the equation

5x + 2/3*x = 102

x = 18

5* 18 + 2/3 * 18 =102

90 + 12 = 102

102 = 102

LHS = RHS

(Left hand side = Right hand side)

Additional Knowledge

Step : 3  The smallest positive integer that is a multiple of two or more numbers is known as the least common multiple (LCM). In order to add or subtract fractions, the least common multiple of their denominators is employed. It is also applied to challenges involving time and distance. The listing out multiples approach and the prime factorization method may both be used to determine the LCM.

Step : 4 The improper fraction 17/3 and the mixed number 5 2/3 are equivalent. Simply multiply the fraction's denominator (3) by the whole number (5) and then add the numerator to the mixed number to get an improper fraction (2). A rational number is one that yields the result -7/12 after being multiplied by 5/2 and 2/3. The figure is 1/2.

To learn more about similar questions visit:

https://brainly.in/question/6813000?referrer=searchResults

https://brainly.in/question/54126484?referrer=searchResults

#SPJ3

Similar questions