Question

One number is 3 times another number. If 15 is added to both the numbers the
new numbers becomes twice the other new number. What are the number .​

Answer 1

Answer:

45, 15

Step-by-step explanation:

let us consider two numbers as X,Y

here X =3Y (since one number is 3 times another number) -----> 1

consider a,b as X+15, y+15 respectively

so, a= X+15, b=Y+15 ---------> 2

as per question a=2b ( new numbers become twice the other one)

substitute equations 2 in above equation.

X+15 = 2(Y+15)

X+15 = 2Y+30

X =2Y+30-15

X=2Y+15

from equation 1,

3Y = 2Y+15

3Y-2Y=15

Y=15

substitute Y=15 in equation 1

X=3(15)

X = 45

therefore the numbers are 45,15