Question

One number is 3 time another number. If 5 is added to both the numbers, then one of the number becomes twice that of the other new number. Find the number.

Answer 1

let the number be =x and y

x=3y-----------------(1)

x+5=2(y+5)--------------(2)

x=2y+10-5

x=2y+5

putt the value of x in equation

2y+5=3y

3y-2y=5

y=5-----------(3)

putt the value of y in equation 1

x=3y

x=3×5

x=15

Answer 2

• Let one number be M and another number be N.

》 One number is 3 times the another.

According to question,

=> M = 3N ________ (eq 1)

》 If 5 is added to both the numbers, the one number becomes twice the other number.

According to question,

=> M + 5 = 2(N + 5)

=> M + 5 = 2N + 10

=> M = 2N + 5

=> 3N = 2N + 5 [From (eq 1)]

=> N = 5 (Another numbers)

Put value of N in (eq 1)

=> M = 3(5)

=> M = 15 (First number)

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Numbers are 15 and 5.

___________ [ ANSWER ]

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