Question

.the ratio of two number is 5;6adding 8 to each number make their ratio
7:8 the number are
a.20,28
b.30,36
c.25.30
d.20,24​

Answer 1

Answer:

a.20,28

b.30,36

c.25.30

d.20,24

Answer 2

Answer:

Given :-

• The ratio of two numbers is 5 : 6.
• 8 is adding to each of the number make their ratio 7 : 8.

To Find :-

• What are the numbers.

Solution :-

Let,

$\mapsto \bf{First\: number =\: 5x}$

$\mapsto \bf{Second\: number =\: 6x}$

According to the question,

$\implies \sf \dfrac{5x + 8}{6x + 8} =\: \dfrac{7}{8}$

By doing cross multiplication we get,

$\implies \sf 7(6x + 8) =\: 8(5x + 8)$

$\implies \sf 42x + 56 =\: 40x + 64$

$\implies \sf 42x - 40x =\: 64 - 56$

$\implies \sf 2x =\: 8$

$\implies \sf x =\: \dfrac{\cancel{8}}{\cancel{2}}$

$\implies \sf\bold{\purple{x =\: 4}}$

Hence, the required numbers are :

➲ First Number :

$\longrightarrow \sf First\: number =\: 5x$

$\longrightarrow \sf First\: number =\: 5 \times 4$

$\longrightarrow \sf\bold{\red{First\: number =\: 20}}$

➲ Second Number :

$\longrightarrow \sf Second \: number =\: 6x$

$\longrightarrow \sf Second\: number =\: 6 \times 4$

$\longrightarrow \sf\bold{\red{Second\: number =\: 24}}$

${\small{\bold{\underline{\therefore\: The\: numbers\: are\: 20\: and\: 24\: .}}}}$

Hence, the correct options is option no (d) 20, 24.