Question

1. Two numbers are in the ratio 8. 3. If the sum of the numbers is 143. find the numbers.

2.2/3of a number is 20 less than the original number. Find the number,

3. Four-fifths of a number is 10 more than two-thirds of the number. Find the number.
4. Twenty-four is divided into two parts such that 7 times the first part added to 5 times the
second part makes 146. Find each part.
5. Find the number whose fifth part increased by 5 is equal to its fourth part diminished by 5.
6. Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallest equals
the sum of the third and 55, find the numbers.​

Answer 1

Answer:

Let the number be x.

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.