Question

one of the two numbers, 4 time the smaller one is less then 3 time the larger by one 6.also the sum of the number is larger then 6times theirs difference by 5.solve the number

Answer 1

Hi Friend !!!

Here is ur answer !!!

Let the numbers be a and b

where a is smaller and b is larger


ACCORDING TO THE QUESTION :

4a = 3b-6

6 = 3b-4a

6 = 3(b-a) - a

3(b-a) = 6+a ----------(1)

a+b = 6(b-a) +5

a+b = 2(3(b-a)) +5

a+b = 2(6+a) + 5

a+b = 12+2a+5

a-2a+b = 17

b-a = 17 -------(2)

Put (2) in (1)

3(b-a) = 6+a

3(17) = 6+ a

51 - 6 = a

a = 45


put a = 45 in (2)

b-a = 17

b - 45 = 17

b = 17+45

b = 62


So, they are 45 and 62


Hope it helps u : )