Question

1. Divide the number 952 into two parts in the ratio 3:5.

2. Two numbers are in the ratio 4:5 and their sum is 180 find the numbers.

3. a number is divided in the ratio 15:8 if the second part is 56, find the number.​

Answer 1

Answer:

1... 952/8. ×3=357

952/8. × 5=595

2....180/9. ×4=80

180/9. ×5=100

3....second part 56

so,56=..../23. ×8

hence..56×23/8=x therefore the no. is 161

Answer 2

Step-by-step explanation:

1. let the ratio be x

so numbers are 3x and 5x

According to question

3x + 5x = 952

8x = 952

x = 952/8

x = 119

numbers are

3× 119 = 357

5× 119 = 595

2. x/y = 5/4

y = (4/5)x

x + y = 180

put the system of linear equations into standard form

(4/5)x - y = 0

x + y = 180

0.8x - y = 0

x + y = 180

answer:

x= 100

y= 80

x - y = 20

3. Let the number be x

sum of ratio = 15 + 8 = 23

According to the question,, 8/23 × X = 56

= X = 56 × 23/8 = 161

:- the number is 161

I hope this may help you