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Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of two numbers is 2574, then what is the value of the larger number?
- a)1521
- b)1471
- c)1641
- d)1419
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Out of two numbers, 65% of the smaller number is equal to 45% of the l...
Given:
Out of two numbers, 65% of the smaller number is equal to 45% of the larger
number. If the sum of two numbers is 2574
Calculation:
Let the smaller number be ‘x’ and the larger number be ‘y’
From the problem, it is given that
65%x = 45%y
⇒ 13x = 9y
⇒ x = (9/13)y ----(1)
Given the sum of the numbers = 2574
⇒ (x + y) = 2574 ----(2)
Substituting the value of ‘x’ from Equation 1 in Equation 2, we get
(9/13)y + y = 2574
⇒ (9y + 13y) = 2574 × 13
⇒ 22y = (2574 × 13)
⇒ y = (2574 × 13)/22 = 1521
∴ Value of the larger number is 1521
Most Upvoted Answer
Out of two numbers, 65% of the smaller number is equal to 45% of the l...
Given:
Out of two numbers, 65% of the smaller number is equal to 45% of the larger
number. If the sum of two numbers is 2574
Calculation:
Let the smaller number be ‘x’ and the larger number be ‘y’
From the problem, it is given that
65%x = 45%y
⇒ 13x = 9y
⇒ x = (9/13)y ----(1)
Given the sum of the numbers = 2574
⇒ (x + y) = 2574 ----(2)
Substituting the value of ‘x’ from Equation 1 in Equation 2, we get
(9/13)y + y = 2574
⇒ (9y + 13y) = 2574 × 13
⇒ 22y = (2574 × 13)
⇒ y = (2574 × 13)/22 = 1521
∴ Value of the larger number is 1521
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Community Answer
Out of two numbers, 65% of the smaller number is equal to 45% of the l...
Given:
Out of two numbers, 65% of the smaller number is equal to 45% of the larger
number. If the sum of two numbers is 2574
Calculation:
Let the smaller number be ‘x’ and the larger number be ‘y’
From the problem, it is given that
65%x = 45%y
⇒ 13x = 9y
⇒ x = (9/13)y ----(1)
Given the sum of the numbers = 2574
⇒ (x + y) = 2574 ----(2)
Substituting the value of ‘x’ from Equation 1 in Equation 2, we get
(9/13)y + y = 2574
⇒ (9y + 13y) = 2574 × 13
⇒ 22y = (2574 × 13)
⇒ y = (2574 × 13)/22 = 1521
∴ Value of the larger number is 1521
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Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of two numbers is 2574, then what is the value of the larger number?a)1521b)1471c)1641d)1419Correct answer is option 'A'. Can you explain this answer?
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