Math, asked by sarmayuvraj123, 3 months ago

the sum of two numbers is 210.if 8 % of one number is equal to the 7%of the other number,find the number​

Attachments:

Answers

Answered by ImperialGladiator
41

Answer:

The two numbers are 112 and 98

Step-by-step explanation:

Given :

  • Sum of two numbers are 210
  • The 8% of a number is equal to 7%

To find :

  • The number

Solution :

lets assume that the numbers are x and y

According to the question,

⟹ 8% of x = 7% of y

⟹ 8x/100 = 7y/100

⟹ 8x = 7y

⟹ x = 7y/8 .......(i)

Sum of the numbers is 210

So,

⟹ x + y = 210

From equation (i)

⟹ 7y/8 + y = 210

⟹ 15y/8 = 210

⟹ 15y = 210 × 8

⟹ y = 210*8/15

⟹ y = 1680/15

⟹ y = 112 ans.

Substituting the value of y

⟹ x + y = 210

⟹ x + 112 = 210

⟹ x = 210 - 112

⟹ x = 98 ans.


ashoksindhu090: why there are 15y in this answer
ImperialGladiator: We need to solve this equation : x + y = 210
ImperialGladiator: Here, check my answer correctly
ImperialGladiator: Using the substitution method
ImperialGladiator: Substitute the value of "x" in the equation
ImperialGladiator: Where,the value of "x" = 7y/8
ImperialGladiator: Now, add them
ImperialGladiator: => 7y/8 + y = 210
ImperialGladiator: Take L.C.M. of y and 8 that will be 8y
ImperialGladiator: So, after adding we'll get ,15y/8
Similar questions