Question

two whole no.s are in the ratio of 2:5 if their difference is 66 then find the whole no.s ​

Answer 1

$\large { \underline{ \bf \purple{Let:- }}}$

• The two whole numbers be 2x and 5x

$\large { \underline{ \bf \purple{Given:- </p><p>}}}$

• Two whole numbers are in the ratio of 2:5.
• Their difference is 66

$\large { \underline{ \bf \purple{To \: find:- </p><p>}}}$

• The two whole numbers.

$\large { \underline{ \bf \purple{Solution :- </p><p>}}}$

$\implies \mathtt{5x - 2x = 66}$

$\implies\mathtt{3x = 66}$

$\implies \mathtt{x = \frac{66}{3} }$

$\implies \mathtt{x = 22}$

• Therefore the two numbers are:-

$\implies \mathtt{5x=5 \times 22=110}$

$\implies \mathtt{2x=2 \times 22=44}$

$\large \pink{ \boxed{ \bf{Therefore \: the \: two \: numbers \: are \: 110 \: and \: 44. }}}$

Answer 2

Answer:

$\red{\huge\underline\mathrm{SOLUTION:-}} </p><p>$

AnswEr:

First Number = 44

Second Number = 110

Given That:

The ratio of two numbers is 2 : 5

RougH:

2 : 5 = 2/5 = 2x/5x

Need To Find:

First Number = ?

Second Number = ?

ExPlanation:

Let first number be 2x and second number be 5x.

Now, Given

Difference between two numbers = 66

ThereFore:

➠ 5x - 2x = 66

➠ 3x = 66

➠ x = 66/3

➠ x = 22

Thus,

First Number = 2x

= 2 × 22

$= {\boxed{\sf\green{44}}} </p><p>$

Second Number = 5x

= 5 × 22

$= {\boxed{\sf\green{ 110}}}$

Hence, the First Number is 44 and the Second Number is 110.