Question

The ratio of present ages of Sam and is sister is 4 : 3. After four years, the ratio of

their ages will be 9 : 7. What is the present age of Sam?​

Answer 1

GiVen :-

• ratio of ages of sam and his sister = 4 : 3

• after 4 years, the ratio will be = 9 : 7

To Find :-

• present age of sam

Solution :-

${ \tt{let \: the \: constant \: be \: x}} \\ \red{ \tt{so \: the \: age \: of \: sam \: = 4x \: yrs \: and \: her \: sister \: = 3x \: yrs}} \\ \mapsto{\tt{According \: to \: question:-}} \\ \frac{4x+4}{3x + 4} = \frac{9}{7} \\{\tt{cross \: multiplying \: :-}} \\ 7(4x+4)= 9(3x+4) \\ 28x+28=27x+36 \\ 28x-27x = 36-28 \\ x=8 \\ \pink{\sf{°.° \: present \: age \: of \: sam = 4x = 4× 8 = 32 \: yrs}}$

Hope It HeLpS Uh ! ✨

Answer 2

Step-by-step explanation:

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