Question

Sum of two numbers is 29 and
one numbers exceeds another by 5 . Find the numbers​

Answer 1

Step-by-step explanation:

x+x+5=29

2x=29-5=24

x=24/2=12

no are 12 and 17

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Answer 2

The two numbers are :

The one number = 17.

The other number = 12.

Given :

The sum of two numbers = 29.

One number exceed another number by 5.

To Find :

The numbers.

Solution :

Let,

The other number be x.

The one number be x + 5 because according to the question, one number exceed another number by 5.

$\bold{Given,}$

The sum of both numbers = 29

That means,

$\begin{gathered} : \implies \rm x +( x + 5) = 29 \\ \\ : \implies \rm x + x + 5 = 29 \\ \\ : \implies \rm 2x + 5 = 29 \\ \\ : \implies \rm 2x = 29 - 5 \\ \\ : \implies \rm2x = 24 \\ \\ : \implies \rm x = \dfrac{24}{2} \\ \\ : \implies \rm x = 12 \\ \\ \: \: \: \therefore \rm \: \: x = 12 \\ \\ \sf{So \: the \: numbers \: are : } \\ \\ \large{ \star} \: \: \small{ \sf The \: one \: number = x + 5 = 12 + 5 = 17 }\\ \large{ \star} \: \: \small{ \sf The \: other \: number = x = 12}\end{gathered}$

$\bigstar\sf{Hence,}$

The two numbers are 17 and 12.

$\bigstar\sf{Verification :}$

Sum of both numbers is 29.

$\bigstar\sf{we ~have,}$

• The one number (x + 5) = 17.

• The other number (x) = 12.

$\begin{gathered} :\implies \rm x + x + 5 = 29 \\ \\ :\implies \rm 12 + 17 = 29 \\ \\ :\implies \rm 29 = 29 \end{gathered}$

$\sf\underline{Hence~ Verified}$