Question

the difference between two whole numbers is 66 the ratio of the two numbers is 2 ratio 5 what are the two numbers​

Answer 1

Given

• Difference b/w two whole numbers = 66
• Ratio of two numbers = 2 : 5

To find

• What are the numbers?

Solution

Let the two numbers be 2y & 5y

AccordinG to Question :

→ 5x - 2x = 66

→ 3x = 66

→ x = 66/3

→ x = 22

Now finding the two numbers

→ First number = 2x

→ First number = 2(22)

→ First number = 44

Second number :

→ Second number = 5x

→ Second number = 5(22)

→ Second number = 110

Hence,

∴ Two numbers are : 110 & 44 .

| | Verification | |

→ Second number - First number = 66

→ 110 - 44 = 66

→ 66 = 66

[ Hence verified! ]

Answer 2

$\huge \tt {GIVEN:}$

Difference between two whole numbers = 66

Ratio of two numbers = 2:5

________________________________

$\huge \tt {TO~FIND:}$

The numbers

________________________________

$\huge \tt {SOLUTION:}$

Let the two numbers be 2x & 5x

Then,

⇝5x- 2x = 66

⇝3x = 66

⇝x = 66/3

⇝x = 22

________________________________

First Number= 2x

➩2x = 2× 22

→ 44

________________________________

Second Number = 5x

➩5x = 5×22

→110

_______________________________

$\tt {FIRST~NUMBER=44}$

$\tt {SECOND~NUMBER=110}$

_______________________________

Now,

Verification-

2nd number - 1st number = 66

⟹110-44 = 66

⟹66=66

⟹LHS = RHS

Hence, Verified

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