Question

the difference of two numbers is 16 if one number is 3/2 of the Other find the greatest number​

Answer 1

Complete step by step answer:

Let one of the numbers is x and the other is y. Let x > y.

Since the difference of the two number is 16, we have

x−y=16 (i)

Also, since one-third of the smaller number is greater than one-seventh of the larger number by 4, we have

y3−x7=4

Multiplying both sides by 21, we get

7y−3x=84 (ii)

From equation (i), we have

x−y=16⇒x=y+16 (iii)

Substituting the value of x in equation (ii), we get

7y−3(y+16)=84

Using distributive property of multiplication over addition, i.e. a(b+c) = ab+ac, we get

7y−3y−48=84⇒4y−48=84

Dividing both sides by 4, we get

y−12=21

Adding 12 on both sides, we get

y=33

Substituting the value of y in equation (iii), we get

x=y+16=33+16=49

Hence the two numbers are 49 and 33.

Answer 2

Answer:

x-3x/2 = 16
-x/2 = 16
-x = 32
x = -2