Question

The sum of two numbers is 40 and the difference is 10.Which is the greater number

Answer 1

Step-by-step explanation:

Let those number be x and y

x+y=40

x-y=10

Elimination.

2y=30

y=15

x-y=10

x-15=10

x=10+15.

x=25

x is greater no.

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Answer 2

Answer:

First number is greater than second number.

Step-by-step explanation:

Let the two numbers be x and y.

A.T.Q.,

• Sum of two numbers = 40

→ x + y = 40 ...(1)

Also,

• Difference of two numbers = 10

→ x - y = 10 ...(2)

Now,

Adding (1) and (2), we get

→ (x + y) + (x - y) = 40 + 10

• Opening the brackets.

→ x + y + x - y = 50

• Cancelling the common terms.

→ x + x = 50

→ 2x = 50

→ x = 50/2

→ x = 25

Putting this in (1), we get

→ (25) + y = 40

→ 25 + y = 40

→ y = 40 - 25

→ y = 15

From the values of x and y, we can confer that first number "x" is greater than second number "y".

Also, from the (2), we can directly get to the answer that x is greater than y because the answer from subtraction of both the numbers is positive.