1. The sum of two numbers is 4980. If 13% of the one number is equal to 17% of the other. Find thenumber.

Question

1. The sum of two numbers is 4980. If 13% of the one number is equal to 17% of the other. Find thenumber.

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3 months 2021-10-15T13:45:16+00:00 2 Answers 0 views 0

Answers ( )

1. ▪The sum of two numbers is 4980.

▪13% of the one number is equal to 17% of the other.

▪The two numbers

Let the two number be a and b.

According to the 1ˢᵗ condition,

According to the 2ⁿᵈ condition,

13% of a = 17% of b

Now,

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Hope It Helps Uh!

• Sum of two numbers = 4980
• 13% of one number is equal to the 17% of the other number

• Numbers

Let x and y be the two numbers

▶️ According to Question:–

✥ Sum of two numbers = 4980

≫ x + y = 4980

• ≫ x = 4980 – y …….(1)

✥ 13% of the one number is equal to 17% of the other.

[13% of a number mean 13/100 of the number ]

[ 17% of a number means 17/100 of the number]

• ≫ 13x = 17y……(2)

✥Substituting value of x From (1) in (2)

≫ 13(4980 – y) = 17y

≫ 64740 – 13y = 17y

≫ 64740 = 17y + 13y

≫ 64740 = 30y

≫ y = 64740/30

• y = 2158

✥ putting value of y in (1)

≫ x = 4980 – 2158

• x = 2822

Hence,

✝️ Two numbers are 2158 and 2822.