Question

Diferrence between two no. is 16. If 1/3 of smaller no. is greater than 1/7 of the larger no. by 4 find the no.

Answer 1

Answer:

greater number is 49 and Smaller number is 33.

Step-by-step explanation:

Let x = samller number

and y = greater number

According to the given question,

y-x = 16 (Equation 1)

x/3- y/7 = 4 (Equation 2)

Putting value of x = (y -16) from equation 1 , in equation 2.

(y -16)/3 -y/7 = 4

On taking LCM of 3 and 7 (=21)

(7y-112-3y)/21 = 4

4y -112 = 84

4y = 84 +112

4y = 196

y = 49

Putting the value of y in equation 1

y - x = 16

49 -x = 16

49 - 16 = x

x = 33