Question

the sum of two number is 60 the greater number is 8 more than thrice the smaller number find the number ​

Answer 1

GIVEN :

Sum of two numbers = 60

Greater number is 8 more than thrice the smaller number.

Let the smaller number be x

Greater number be 3x + 8

According to the problem,

x + 3x + 8 = 60

4x + 8 = 60

4x = 60 - 8

4x = 52

x = 52/4

x = 13

Value of x = 13

Smaller number = x = 13

Greater number = 3x + 8 = 3(13) + 8 = 39 + 8 = 47

Therefore, the two numbers are 13 and 47

Answer 2

$\bf{\large{\underline{\underline{Answer:-}}}}$

Greater number = 47

Smaller number = 13

$\bf{\large{\underline{\underline{Explanation:-}}}}$

Given :- Sum of two numbers = 60

Greater number is 8 more than the thrice the smaller number

To find :- Numbers

Solution :-

Let us Consider the smaller number as x

Greater number = 8 more than the thrice the smaller number = (3(x) + 8) = (3x + 8)

Sum of numbers = 60

According to the question :-

Equation formed :- $\boxed{\sf{(3x + 8) + x = 60}}$

$\sf{\implies{3x + 8 + x = 60}}$

$\sf{\implies{4x + 8 = 60}}$

$\sf{\implies{4x = 60 - 84}}$

$\sf{\implies{4x = 52}}$

$\sf{\implies{x = \dfrac{52}{4} }}$

$\sf{\implies{x = 13}}$

Smaller number = 13

Now we can find the greater number

Greater number = (3(13) + 8) = (39 + 8) = 47

So, Greater number = 47

$\bf{\large{\underline{\underline{Verification:-}}}}$

$\tt{(3x + 8) + x = 60}$

$\tt{\implies{47 + 13 = 60}}$

$\tt{\implies{60 = 60}}$