1.

One number is fifteen less than 4 times another. If the sum of the two numbers istwenty, find the two number.

Answer»

Given :-

  • One number = 15 less than 4 times other
  • Sum of two numbers = 20

To FIND :-

  • Both numbers

Solution :-

Let one number be'x' and another number be'y'

then ,

According to question :-

  • One number = 15 less than 4 times another
  • x = 4Y - 15. --(1)

Now,

  • Sum of two numbers = 20

➮ x + y = 20

➮ x = 20 - y --(2)

From (1) and (2) , we get,

➮ 20 - y = 4y - 15

➮ 20 + 15 = 4y + y

➮ 5y = 35

➮ y = 35/5

➮ y = 7

Put y = 5 in (1) , we get,

➮ x = 4y - 15

➮ x = 4(7) - 15

➮ x = 28 - 15

➮ x = 13

Hence,

  • One number is x = 13
  • Another number is y = 7


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