Question

Q. The difference between two numbers is 22 and one number is three times the other. Then the

greater number is

(a) 30 (b) 11 (c) 33 (d) 44
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Answer 1

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GIVEN QUESTION:-

The difference between two numbers is 22 and one number is three times the other. Then the greater number is

(a) 30 (b) 11 (c) 33 (d) 44

REQUIRED ANSWER:-

• First number = x = 11
• Second number = 3x = 33

EXPLANATION:-

Let the two numbers be 'x' and '3x'

• 3x- (as the second number is three times greater)

So, the equation formed will be:-

$\Rightarrow\large{\boxed{\sf{\pink{3x-x=22}}}}{\green {\checkmark}}$

Now let us solve further:-

$\implies\sf{3x-x=22}$

$\implies\sf{2x=22}$

$\implies\sf{x= \frac{22}{2} }$

$\implies \sf{x=11}$

So, we found the value of 'x' as 11.

• First number = x = 11
• Second number = 3x = 33

VERIFICATION:-

As the difference of the two numbers is 22, we will see that:-

$\implies \sf {22=33-11}$

$\implies \sf {22=22}$

L.H.S = R.H.S

$\large{\boxed{\sf{\pink{Hence\: Verified}}}}{\green {\checkmark}}$

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