Question

4. The sum of two numbers is 987654. If one of the numbers is greater than
the other by twenty thousand one hundred, then the greater of the
numbers is
​

Answer 1

Solution :-

$\orange{\sf{Given:-}}$

• The sum of two numbers = 987654.
• One of the numbers is greater than the other by 20100.

$\orange{\sf{To~Find:-}}$

• The greater number.

$\orange{\sf{Let:-}}$

• The smaller number be x
• The greater number = x+20100

━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Sum of the two numbers = $\sf{x+x+20100}$

Sum of the two numbers = $\sf{2x+20100}$

But, the sum of the numbers = 987654......(Given)

$\therefore\sf{2x+20100=987654}$

$\leadsto\sf{2x=987654-20100}$

$\leadsto\sf{2x=967554}$

$\leadsto\sf{x=\cancel\frac{967554}{2}}$

$\pink{\boxed{\boxed{\sf{x=483777}}}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Now we have ;

$\sf{The~Smaller~Number=x=483777}$

$\sf{The~Greater~Number=x+20100}$

$\leadsto\sf{The~Greater~Number=483777+20100}$

$\pink{\boxed{\boxed{\sf{The~Greater~Number=503877}}}}$