Question

The sum of the two numbers is 125600. If the one number is 14400 less than the other number. What is the smaller number?
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Answer 1

Answer:

55600 is smaller no.

Answer 2

Answer:

• Smaller number is 55600.

Step-by-step explanation:

Given that:

• The sum of two numbers is 125600.
• One number is 14400 less than the other number.

Let us assume:

• Greater number be x.

Then,

• Smaller number is (x - 14400).

According the question:

$\sf{\longrightarrow x+(x-14400)=125600}$

Opening the brackets,

$\sf{\longrightarrow x+x-14400=125600}$

Transposing 14400 from LHS to RHS and changing its sign,

$\sf{\longrightarrow x+x=125600+14400}$

Adding the numbers on both the sides,

$\sf{\longrightarrow 2x=140000}$

Transposing 2 from LHS to RHS and changing its sign,

$\sf{\longrightarrow x=\dfrac{140000}{2}}$

Dividing the numbers,

$\sf{\longrightarrow x=70000}$

Hence,

• x = 70000

Therefore,

• Greater number = x = 70000
• Smaller number = (x - 14400) = (70000 - 14400) = 55600

Verification:

LHS:

↪ 70000 + 55600

↪ 125600

RHS:

↪ 125600

Because, LHS = RHS

Hence, verified.