Question

half of one number is one third of another .the sum of the two numbers is 95.what are the two numbers ?​

Answer 1

Answer:

Explanation:

we need to find the two numbers.

According to the question  

Sum of two numbers is 95

↛ x + y = 95

↛ x = 95 - y ⠀⠀⠀......1)

Half of one number is one third of another.

↛x × ½ = ⅓ × y

From equation⠀⠀⠀...1)

↛ (95 - y)/2 = y/3

↛ 3(95 - y) = 2 × y

↛ 285 - 3y = 2y

↛ - 3y - 2y = -285

↛ -5y = -285

⪼ y = 285/5

⪼ y = 57

Substituting value of y in ⠀⠀...1)

⇝x = 95 - y

⇝ x = 95 - 57

⇝ x = 38

Hence,

Two numbers are 38 and 57

Sum of two numbers is 95

↛ x + y = 95

↛ 38 + 57 = 95

↛ 95 = 95

LHS = RHS

Answer 2

${ \huge{ \underline{ \underline{ \sf{ \green{GivEn : }}}}}}$

• Half of one number is one third of another.

• Sum of the two numbers is 95.

${ \huge{ \underline{ \underline{ \sf{ \green{To \: find :}}}}}}$

• What are the two numbers?

${ \huge{ \underline{ \underline{ \sf{ \green{SoluTion : }}}}}}$

Let the two numbers be x and y.

Given that,

Sum of two numbers is 95

x + y = 95..........eq(1)

Again, it's given that

Half of one number is one third of another.

Therefore,

x × ½ = ⅓ × y.........eq(2)

From eq(1) , we get

⟶ x = 95 -y

Now, put the value of x in eq(2)

⟶ x × ½ = ⅓ × y

⟶ (95 - y)/2 = y/3

⟶ 3(95 - y) = 2 × y

⟶285 - 3y = 2y

⟶ - 3y - 2y = -285

⟶ y = 285/5

⟶ y = 57

Again, substitute the value of y in eq(1)

⟶ x = 95 - y

⟶ x = 95 - 57

⟶ x = 38

Hence,two numbers are 38 and 57.