Question

Four-fifths of a number is 10 more than two-thirds of the number. Find the number.
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Answer 1

Step-by-step explanation:

Four-fifths of the number is (4/5)x

Two-thirds of the number is (2/3)x.

10 more than two-thirds of the number is (2/3)x +10.

Hence the given problem will be (4/5)x =(2/3)x +10

I.e., 4x/5 = 2x/3 +10

Multiply through out by 15 which is the LCM of 5and 3 we get

12x=10x+150

12x-10x = 150

2x = 150

x = 75

Hence the required number is 75.

Answer 2

Answer:

Let the number be x.

A/q

(4/5)x = 10 + (2/3)x

⇒ 4x/5 = 10 + 2x/3

⇒ 4x/5 - 2x/3 = 10

⇒ (4x*3 - 2x*5)/15 = 10

⇒ 12x - 10x = 15*10

⇒ 2x = 150

⇒ x = 150/2

⇒ x = 75

Answer is 75.