Question

Difference of two whole numbers is 33 and its ratio is 2:5 then find those
numbers.
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Answer 1

Step by step explanation:

Let's assume:

• Let the first number be 2x.
• Let the second number be 5x.

According to the question

$\: \: \sf \implies \: 5x - 2x = 33 \\ \\ \: \: \sf \implies \: 3x = 33 \\ \\ \: \: \: \: \sf \implies \: \dagger\therefore x = 11$

Hence, the value of x is 11.

Therefore,now put the value to find the numbers

• First number = 5x = 5 × 11 = 55
• Second number = 2x = 2 × 11 = 22

Answer 2

Step-by-step explanation:

let the numbers be x and y

Given :

x - y = 33 (eqn no. 1)

y/x = 2/5 (eqn no. 2)

x - y = 33

x = 33 + y

(substituting the value of x in eqn. no. 2)

y/x = 2/5

y/(33+y) = 2/5

(cross multiplication)

5y = 2(33+y)

5y = 66 + 2y

5y - 2y = 66

3y = 66

y = 66/3

y = 22

(putting the value of y in eqn no. 1)

x - y = 33

x - 22 = 33

x = 33 + 22

x = 55

hence the numbers are 22 and 55