# If x varies directly as y, then

x |
12 |
6 |

y |
48 |
— |

**Solution:**

If x varies directly as y we can write:

x ∝ y

x/y = k

Where k is proportionality constant

Therefore given the values in the above table can be written as:

(12)/48 = 6/x

x = 6 × (48/12)

x = 24

**✦ Try This:** If x varies directly as y, then

x |
8 |
9 |

y |
24 |
— |

If x varies directly as y we can write:

x ∝ y

x/y = k

Where k is proportionality constant

Therefore given the values in the above table can be written as:

(8)/24 = 9/x

x = 9 × (24/8)

x = 27

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 13

**NCERT Exemplar Class 8 Maths Chapter 10 Problem 27**

## If x varies directly as y, then x 12 6 y 48 —

**Summary:**

If x varies directly as y, then x = 24

**☛ Related Questions:**

- When the speed remains constant, the distance travelled is ______ proportional to the time
- On increasing a, b increases in such a manner that a/b remains______ and positive, then a and b are . . . .
- If on increasing a, b decreases in such a manner that _______ remains ______ and positive, then a an . . . .

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