Question

The sum of two consecutive multiplies of 5 is 65. Find
the numbers.​

Answer 1

The numbers are 30 and 35
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Answer 2

$\bf{\huge{\underline{\mathcal{\red{Answer:}}}}}$

Let the two consecutive terms be, 5x and 5 ( x + 1)

According to the question :-

The sum of two consecutive multiplies of 5 is 65,

5x + 5(x + 1) = 65

5x + 5x + 5 = 65

10x + 5 = 65

10x = 65 - 5

10x = 60

x = $\bf\large\frac{60}{10}$

x = 6

$\bf{\boxed{\red{ <strong>First </strong>\:<strong>term </strong>\:<strong>=</strong><strong> </strong><strong>5x </strong><strong>=</strong><strong> </strong><strong>5 </strong><strong>×</strong><strong> </strong><strong>6 </strong><strong>=</strong><strong> </strong><strong>30</strong>}}}$

$\bf{\boxed{\blue{ <strong>Second</strong>\:<strong> </strong><strong>term </strong><strong>=</strong><strong> </strong><strong>5 </strong><strong>(</strong><strong>x </strong><strong>+</strong><strong> </strong><strong>1)</strong><strong> </strong><strong>=</strong><strong> </strong><strong>5 </strong><strong>×</strong><strong> </strong><strong>6 </strong><strong>+</strong><strong> </strong><strong>5 </strong><strong>=</strong><strong> </strong><strong>30 </strong><strong>+</strong><strong> </strong><strong>5 </strong><strong>=</strong><strong> </strong><strong>35</strong>}}}$