Question

The sum of two numbers is 65.If twice the smaller number is 4 more than the larger one, find the two numbers

Answer 1

Answer:

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Step-by-step explanation:

The large one is x

The small one is y

According to given conditions,

x+y=65[Sum of two number is 65]—Equation(1)

x-23=y [Smaller number is less than 23 than larger]——Equation (2)

From equation (2) we can write,

x-y=23——-Equation(3)

Now adding equation (1) and (3) we get,

x+y+x-y=65+23

=>2x=88

=>2x/2=88/2 [Both sides are divided by 2]

=>x=44

Now putting the values in equation (2) we get,

44–23=y

=>y=21

Large, x=44 and Small, y=21.

CHECK:

Equation(1)

L.H.S.=44+21=65

R.H.S. =65

So both are equal and small one is less than 23 of the large one.

Thanks.