Question

the sum of two numbers is 94 the larger number is 5 less than twice the smaller number find the numbers

Answer 1

Let the smaller number be x

The larger number is twice and 5 less than smaller number.

So, let the smaller number be 2x - 5

Given, sum of those two numbers is 94


According to the given condition,

x + (2x - 5) = 94

➾ x + 2x - 5 = 94

➾ 3x - 5 = 94

➾ 3x = 94 + 5

➾ 3x = 99

➾ x = 33


∴ First number ➾ x

➾ $\green{\boxed{\green{\boxed{\red{\textsf{33}}}}}}$


∴ Secomd number ➾ 2x - 5

➾ 2 × 33 - 5

➾ 66 - 5

➾ $\green{\boxed{\green{\boxed{\red{\textsf{61}}}}}}$

Answer 2

Solution:-

Let the two number be x and y.

=> x + y = 94. _________(1)

Given that the larger number is 5 less than twice the smaller number.

So, Let assume the larger number is x.

=> x = 2y - 5.

Putting x = 2y - 5 in equation (1). we get,

=> 2y - 5 + y = 94
=> 3y = 99
=> y = 99/3
=> y = 33.

Hence, The Two numbers are ;

y = 33 and

x = 2y - 5 = 66 - 5
x= 61.