Question

4. One number is 3 times another number. If 15 is added to both the numbers, then one of the
new numbers becomes twice that of the other new number. Find the number.​

Answer 1

Answer:

4. One number is 3 times another number. If 15 is added to both the numbers, then one of the

new numbers becomes twice that of the other new number. Find the number.

Answer 2

Question:-

One number is 3 times another number. If 15 is added to both the numbers, then one of the

new numbers becomes twice that of the other new number. Find the number.

Answer:

let a = one of the numbers.

let b = the other number.

you get a = 3b

add 15 to and b, and it becomes 2 * b.

you get a + 15 = 2 * (b + 15)

since a = 3b, replace a in the last equation with 3b to get 3b + 15 = 2 * (b + 15).

simplify to get 3b + 15 = 2b + 30

subtract 2b from both sides of the equation and subtract 15 from both sides of the equation to get:

3b - 2b = 30 - 15

simplify to get b = 15.

since a = 3b, then a = 45.

a = 3b becomes 45 = 3*15 which is true.

a + 15 = 2 * (b + 15) becomes 45 + 15 = 2 * (15 + 15) which becomes 60 = 2 * 30 which is true.

looks like the solution is good.

a = 45

b = 15.

Therefore, the number is 45.